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 427, 756, 51 i.e. 783972 smallest integer divisible by all numbers.
Least common multiple (LCM) of 427, 756, 51 is 783972.
LCM(427, 756, 51) = 783972
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 427, 756, 51 |
7 | 427, 252, 17 |
61, 36, 17 |
∴ So the LCM of the given numbers is 3 x 7 x 61 x 36 x 17 = 783972
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 427,756,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,756,51) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(427,756,51) x common factors =1 x 21 = 21
LCM(427,756,51) = ( 427 × 756 × 51 ) / 21
LCM(427,756,51) = 16463412 / 21
LCM(427,756,51) = 783972
∴ Least Common Multiple of 427,756,51 is 783972
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 427, 756, 51?
Answer: LCM of 427, 756, 51 is 783972.
2. What are the Factors of 783972?
Answer: Factors of 783972 are . There are integers that are factors of 783972
3. How to Find the LCM of 427, 756, 51 ?
Least Common Multiple of 427, 756, 51.
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(427, 756, 51) = 2 x 2 x 3 x 3 x 3 x 7 x 17 x 61 = 783972.