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2^4 x 7
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Write down the highest common factor of 85 and 155?
Prime factor each number and choose the common factors to multiply.85=5x17155=5x315 is the greatest common factor.
What is the LCM of 4 16 and 32?
The normal method to determine the LCM of several numbers is to express each number in terms of its prime factors.4 = 2 x 2 = 2216 = 2 x 2 x 2 x 2 = 2432 = 2 x 2 x 2 x 2 x 2 = 25The LCM is the product of the highest power of each prime factor.In this case, '2' is the only prime factor and its highest power is 25 = 32.Then, 32 is the LCM of 4,16 and 32.
What is the highest power of each prime factor of 27 and 45?
33 = 27 32 x 5 = 45 Three cubed is greater than three squared and 5 is greater than no 5 at all. 3 x 3 x 3 x 5 = 135, the LCM
How do you know 25 and 36 are relatively prime?
25 and 36 are relatively prime because they both share 1 as a factor, but no other factor. As their only common factor is 1, they are relatively prime. Neither is a prime number itself, but it is about the common factors, so in relation to each other, they are relatively prime.
When you have a number that has exactly two equal factors each factor is called what?
prime number
What is the highest power of each prime factor of 18 and 15?
The prime factors of 15 are 3 and 5. The prime factors of 18 are 2 and 3. The highest power of each of these is 1.
What is the highest common factor of 8 and 68?
Determine the factors of each term to get: 8 = 2³ 68 = 2² * 17 Next, find the LCM. Make note that the highest exponent of the prime gives the prime factor to that power. Therefore, the LCM is .... 2³ * 17 = 136
What number can be divided by 2 3 5 6 7?
This is a LCM question, so factor all and find the highest power of each prime factor. 2 is prime 3 is prime 5 is prime 6 is [2 3] 7 is prime. LCM is [2] [3] [5] [7] so the answer is 210◄
What is the LCM of the numbers '11' '16' and '20'?
First express each of the numbers in prime factors:16 = 2411 = 11 (prime number)20 = 22 x 5Now, select the highest power for all prime numbers:24, 11, and 5 then multiply them all together. (16)(11)(5) = 880 is the LCMNote: 22 is not "counted" because it was a factor at a higher power in one of the other numbers. Take only the factor with the highest power.
How do you find the least common multiple of two numbers using prime factorization?
Factor the two (or more) numbers into their primes and write each prime with its exponent (power). Now to find the LCM, take the highest power of each prime that occurs in either of the two (or more) prime factorizatons and multiply them. The product is the LCM. for example: 45=(3^2)(5) 50=2(5^2) So the highest power of 2 is 2^1, the highest power of 3 is 3^2, and the highest power of 5 is 5^1 The LCM is the product of these. So it is 2x5^2x3^2. For those primes not in either factorization, the highest power is 0, for example in our two numbers we have 13^0=1
What is the least common multiple of 108 and 162?
Prime factorization of 108 = 22 x 33Prime factorization of 162 = 2 x 34LCM = Multiplying the highest power in each prime factor = 22 x 34 = 324.
Write down the highest common factor of 85 and 155?
Prime factor each number and choose the common factors to multiply.85=5x17155=5x315 is the greatest common factor.
How do you find the LCM of 2 or more numbers?
First you Prime Factorize the two (or more) numbers. The LCM of the two (or more) numbers must contain all the prime factors of the two (or more) numbers that made it. To find the LOWEST common multiple, for each prime factor, find from one of the numbers where the prime factor has the highest power. The highest powers of each prime multiply together to form the LCM of the numbers. e.g. LCM of 36 and 24 36 = (2^2)(3^2) 24 = (2^3)3 LCM = (2^3)(3^2) = 72
What is the least common multiple of 13 and 117?
Since 13 is a factor of 117, the least common multiple is 117. 13 x 9 = 117 117 x 1 = 117 Another way to determine the least common multiple is to multiply both numbers and divide by their greatest common factor. The greatest common factor of 13 and 117 is 13, so the least common multiple is 13 x 117 ÷ 13 = 117. Another way to determine the least common multiple is to determine the prime factors of the numbers and take the highest power of each prime factor. The prime factors of 13 are 13. The prime factors of 117 are 32 and 13. The highest power of 3 is 32 and the highest power of 13 is 131. Therefore, the least common multiple of 13 and 117 is 32 x 131 = 9 x 13 = 117.
How do you work out the lcm when there are indices?
It is the same as finding the LCM of two numbers that have been expressed as a product of their prime factors except that you need to use the highest index for each prime factor.
What is the lcm of 49 and 63?
The least common multiple (LCM) of 49 and 63 is 441. This is obtained by finding the prime factorization of each number (49 = 7^2 and 63 = 7 * 3^2), and taking the highest power of each prime factor.
What is the least common multiple of 40 80 and 128?
The least common multiple (LCM) of 40, 80, and 128 is 640. To find the LCM, you can find the prime factors of each number and then take the highest power of each prime factor that appears in any of the numbers. In this case, the prime factorization of 40 is 2^3 * 5, the prime factorization of 80 is 2^4 * 5, and the prime factorization of 128 is 2^7. Taking the highest powers, we get 2^7 * 5 = 640.
