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If two numbers are expressed as ab and cb this is easier to work out. Assume that a and c have no common prime factors. Thus, the HCF of the two numbers will be b. The LCM is the two numbers multiplied by each other, divided by the HCF. So the LCM will be abc.
b is a factor of abc, and so the HCF will always be a factor of their LCM.
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What is the HCF and LCM of 36 and 75?
To find the HCF you first have to write the numbers as their prime factors: 36 = 2x2x3x3 75 = 3x5x5 The next step is to identify any common prime factors. In this case both numbers have 3 as a prime factor. Thus the HCF is 3. To find the LCM you need to multiply the numbers together and divide by the HCF. 36x75/3 = 900 Thus the LCM of 36 and 75 is 900.
Which 2 nos have same LCM and HCF?
Any two of the same number. The GCF and LCM of 10 and 10 is 10.
Can any number have 15 as their HCF and 175 as their LCM?
No.-------------------------------------------------------------To find the HCF and LCM of two (or more) numbers list the numbers in their prime factorisations in power format; then:HCF = product of the primes to the LOWEST power across all the numbers;LCM = product of the primes to the HIGHEST power across all the numbers.Note: for p being any prime, p⁰ = 1; so if a prime does not appear as a factor of a number, it can be said to have a power of 0. This means that the LOWEST power is 0 and the prime does not appear in the HCF of the numbers. The HIGHEST power of a prime must be at least the LOWEST power of a prime.Thus if a prime appears in the HCF of the numbers (with a power greater than or equal to 1) it MUST also appear in the LCM of the numbers.If the HCF of some numbers is 15, then: 15 = 3 × 5 which means that the primes 3 and 5 MUST both apear in the LCM.But 175 = 5² × 7, which does NOT include 3, so 175 CANNOT be the LCM of some numbers which have a HCF of 15.
What is the HCF of 99?
The Highest Common Factor (HCF) of 99 is 99. This is because 99 is a prime number, meaning it only has two factors: 1 and 99. Since there are no other common factors between 99 and any other number, the HCF remains 99.
What is the least common multiple of 32 and 48?
The least common factor for any set of numbers is always 1.
What is the HCF and LCM of 36 and 75?
To find the HCF you first have to write the numbers as their prime factors: 36 = 2x2x3x3 75 = 3x5x5 The next step is to identify any common prime factors. In this case both numbers have 3 as a prime factor. Thus the HCF is 3. To find the LCM you need to multiply the numbers together and divide by the HCF. 36x75/3 = 900 Thus the LCM of 36 and 75 is 900.
What is the least common factor of 612and 15?
One. In fact, the least common factor of any two counting numbers is one.
What is the lowest common factor of 24 and 6?
The lowest common factor of any set of positive integers is always 1.
Can you always find the LCM of 2 numbers by multiplying them and then divided them by 2?
4
What is the least common multiple for 30 and 24?
The least common factor is: 1
Which 2 nos have same LCM and HCF?
Any two of the same number. The GCF and LCM of 10 and 10 is 10.
What 2 pair of numbers whose LCM is less than the product of the 2 numbers?
Any two numbers that have a common factor greater than 1 will have a LCM less than their product, eg: LCM(10, 15) = 30 < 10 x 15 = 150 (since HCF(10, 15) = 5) LCM(6, 10) = 30 < 6 x 10 = 60 (since HCF(6, 10) = 2) LCM(18, 27) = 54 < 18 x 27 = 486 (since HCF(18, 27) = 9)
HCF and LCM of p and p plus 1?
To consecutive numbers cannot have any common prime factors. Thus the HCF of p and (p+1) will be 1. To find the LCM, you multiply two numbers together and divide by the HCF. In this case, you'd do p(p+1)/1 This simplifies to p2+p So the HCF is 1 and the LCM is p2+p
What is the greatest common factor of two numbers 525 and 1155 is 105 find their LCM?
For any two numbers, X and Y, LCM(X, Y) = X*Y/HCF(X, Y) So, LCM(525, 1155) = 525*1155/105 = 5775
What job would you have to use LCM and HCF for?
Any job where you need to add or subtract fractions.
Can any number have 15 as their HCF and 175 as their LCM?
No.-------------------------------------------------------------To find the HCF and LCM of two (or more) numbers list the numbers in their prime factorisations in power format; then:HCF = product of the primes to the LOWEST power across all the numbers;LCM = product of the primes to the HIGHEST power across all the numbers.Note: for p being any prime, p⁰ = 1; so if a prime does not appear as a factor of a number, it can be said to have a power of 0. This means that the LOWEST power is 0 and the prime does not appear in the HCF of the numbers. The HIGHEST power of a prime must be at least the LOWEST power of a prime.Thus if a prime appears in the HCF of the numbers (with a power greater than or equal to 1) it MUST also appear in the LCM of the numbers.If the HCF of some numbers is 15, then: 15 = 3 × 5 which means that the primes 3 and 5 MUST both apear in the LCM.But 175 = 5² × 7, which does NOT include 3, so 175 CANNOT be the LCM of some numbers which have a HCF of 15.
What is the highest common multiple of 69 and 72?
The highest common multiple of any set of integers is infinite.
