0
Still curious? Ask our experts.
Chat with our AI personalities
Jordan
Professor
FranAdd your answer:
Earn +20 pts
What is the least common multiple for 686 and 365?
The least common multiple (lcm) of two or more numbers is the product of all prime factors of the numbers to their highest powers.The prime factors of 686 are 2 and 73The prime factors of 365 are 5 and 73.The least common multiple of 686 and 365 is 250390 (2 x 5 x 73 x 73).
Least common multiple of 8 and 18?
To find the least common multiple of two numbers, the first step is to break them down into their prime factors. In this case: 8 = 2x2x2 18 = 2x3x3 The second step is to identify common prime factors. In this case both numbers have a 2 as a prime factor, so we can discard on of these. Take all the other prime factors (2, 2, 2, 3 and 3) and multiply them together for the lcm: 2x2x2x3x3 = 72. Thus the least common multiple of 8 and 18 is 72.
What are the two numbers if they are relatively prime and their sum is 20 and their least common multiple is 99?
If the two numbers are relatively prime, their least common multiple is their product. The prime factors of 99 are 3, 3, and 11. Since the two numbers are relatively prime, the possibilities are 9 and 11 or 1 and 99. The pair of 9 and 11 add up to 20 and their least common multiple is 99. So, 9 and 11 are the two numbers.
What is the least common multiple of 75 and 105 using prime factorization?
The Least Common Multiple of 75, 105 is 525.
What is the least common multiple of 10 16 and 24?
One way to solve this is to find the least common multiple of two of the numbers, and then find the least common multiple of that result with the third number. The least common multiple of two numbers is their product divided by their greatest common factor.The greatest common factor of 10 and 16 is 2, so the least common multiple is 10 x 16 ÷ 2 = 80.The greatest common factor of 80 and 24 is 8, so the least common multiple is 80 x 24 ÷ 8 = 240.The least common multiple of 10, 16, and 24 is 240.Another way to solve this is to find the prime factors of each number, then choose the highest power of each factor and multiply them together.The prime factors of 10 are 2 and 5.The prime factors of 16 are 2, 2, 2, and 2, which is 24.The prime factors of 24 are 2, 2, 2, and 3, which is 23 and 3.The highest power of 2 is 24, the highest power of 3 is 3, and the highest power of 5 is 5. So, the least common multiple is 24 x 3 x 5 = 16 x 3 x 5 = 240.
