Answer: Least common multiple (LCM) of 42 and 72 is 504. The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b). We need to calculate greatest common factor 42 and 72, than apply into the LCM equation.
What 2 numbers have a product of 72?
Well, Factors of 72 are the numbers, that when multiplied together in a pair of two return the result as 72….Factors of 72.
| 1 x 72= 72 | therefore, 1 and 72 are a factor pair of 72 |
|---|---|
| 24 x 3= 72 | therefore, 24 and 3 are a factor pair of 72 |
| 36 x 2= 72 | therefore, 36 and 2 are a factor pair of 72 |
What should be the product of two numbers if their HCF is 12 and LCM is 72?
We have with us that: The HCF and LCM of two numbers are 12 and 72 respectively. We also have with us that: sum of the two numbers is 60. So, either x=24 or x=36. If x=24, then y=36 and if x=36, then y=24.
What is the HCF of 72 and 42?
Final Step: Biggest Common Factor Number We found the factors and prime factorization of 42 and 72. The biggest common factor number is the GCF number. So the greatest common factor 42 and 72 is 6.
How is the LCM calculated in a calculator?
The LCM is the product of the numbers in the L shape, left column and bottom row. 1 is ignored. Starting with the lowest prime numbers, divide the row of numbers by a prime number that is evenly divisible into at least one of your numbers and bring down the result into the next table row.
How to find the LCM using the greatest common factor?
The formula to find the LCM using the Greatest Common Factor GCF of a set of numbers is: A factor is a number that results when you can evenly divide one number by another. In this sense, a factor is also known as a divisor. The greatest common factor of two or more numbers is the largest number shared by all the factors.
How to find the sum of two numbers?
Find the numbers. My attempt: Let two numbers be x, 2000 − x. Product of two numbers is equal to the product of their lcm and hcf. So, x(2000 − x) = 21879 ∗ hcf. Now we have two variables and one equation. So I am stuck. But the book simply considers x(2000 − x) = 21879, thereby x = 1989, 11.
How to find the least common multiple of a number?
1 List the multiples of each number until at least one of the multiples appears on all lists 2 Find the smallest number that is on all of the lists 3 This number is the LCM
