What Two Numbers Have A LCM Of 60?

What two numbers have a LCM of 60 and HCF of 6?

(6,60), (12,30),(18,20),(24,15).

Out of these only the first two satisfy both condition(!) and condition(2).

So the numbers are (6,60) or (12,30).

As both are valid combinations you can take either..

What are the factor pairs for 60?

60 = 1 x 60, 2 x 30, 3 x 20, 4 x 15, 5 x 12, or 6 x 10. Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. Prime factorization: 60 = 2 x 2 x 3 x 5, which can also be written 60 = 2² x 3 x 5.

What is the product of the LCM and GCF of 64 and 60?

Therefore the product of the LCM and GCF of 60 and 64 is 1920.

What is the fastest way to find the LCM?

One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

What is the GCF of 6 and 25?

Greatest common factor (GCF) of 6 and 25 is 1.

What is the LCM of 64?

Least common multiple (LCM) of 64 and 72 is 576.

What is the LCM of two numbers?

The LCM of Least Common Multiple of 2 numbers is the smallest number which can divide the two numbers equally. It is is also known as the Least Common Divisor or LCD. For example, consider 2 numbers as 10 and 4. Now, the smallest number that can divide 10 and 4 evenly will be 20.

What’s the GCF of 20?

Example: Find the GCF of 20, 50 and 120 The common factors of 20, 50 and 120 are 1, 2, 5 and 10. (Include only the factors common to all three numbers.) The greatest common factor of 20, 50 and 120 is 10.

What is the LCM of 60 and 64?

Least common multiple (LCM) of 60 and 64 is 960.

What is the HCF of 36 54?

1, 2, 3, 6, 9, 18, 27, and 54. Although the numbers in bold are all common factors of both 36 and 54, 18 is the greatest common factor. The second method to find the greatest common factor is to list the prime factors, then multiply the common prime factors.

What is the HCF of 24 and 60?

i) The HCF of 24 and 60 is found by comparing the prime factors and multiplying the numbers common to both lists. So the HCF of 24 and 60 is 2 x 2 x 3 = 12. ii) The LCM of 24 and 60 is found by multiplying together all the prime factors of both numbers.

What is the HCF of 20 and 60?

Answer and Explanation: The GCF of 20 and 60 is 20. To find the GCF, start by identifying the factors of each of the numbers. The factors of 20 are: 1, 2, 4, 5, 10, and…

What will be the LCM of two numbers if their HCF is 1?

They don’t need to be prime numbers in themselves, it just means they have no common factors other than 1 and they are “prime with respect to each other.” It is true that if GCD(a,b) = 1 then LCM(a,b) = a*b. … If their greatest common factor is1, then one of the two numbers must be a prime number.

What is the HCF of 36 and 84?

12Hence, HCF of 36 and 84 is 12.

What is the HCF of 36?

Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18 and 36. Therefore, common factor of 24 and 36 = 1, 2, 3, 4, 6, 8 and 12. Highest common factor (H.C.F) of 24 and 36 = 12.

What is the GCF of 15 and 30?

Greatest common factor (GCF) of 15 and 30 is 15.

What is the GCF of 60 and 64?

Greatest common factor (GCF) of 60 and 64 is 4.