Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 2376, 7656 i.e. 68904 smallest integer divisible by all numbers.
Least common multiple (LCM) of 2376, 7656 is 68904.
LCM(2376, 7656) = 68904
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 2376, 7656 |
2 | 1188, 3828 |
2 | 594, 1914 |
3 | 297, 957 |
11 | 99, 319 |
9, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 9 x 29 = 68904
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 2376,7656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2376,7656) = 264
common factors(in case of two or more numbers have common factors) = 1
GCF(2376,7656) x common factors =264 x 1 = 264
LCM(2376,7656) = ( 2376 × 7656 ) / 264
LCM(2376,7656) = 18190656 / 264
LCM(2376,7656) = 68904
∴ Least Common Multiple of 2376,7656 is 68904
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 2376, 7656?
Answer: LCM of 2376, 7656 is 68904.
2. What are the Factors of 68904?
Answer: Factors of 68904 are . There are integers that are factors of 68904
3. How to Find the LCM of 2376, 7656 ?
Least Common Multiple of 2376, 7656.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(2376, 7656) = 2 x 2 x 2 x 3 x 3 x 3 x 11 x 29 = 68904.