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 84, 756, 284 i.e. 53676 smallest integer divisible by all numbers.
Least common multiple (LCM) of 84, 756, 284 is 53676.
LCM(84, 756, 284) = 53676
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 84, 756, 284 |
2 | 42, 378, 142 |
3 | 21, 189, 71 |
7 | 7, 63, 71 |
1, 9, 71 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 9 x 71 = 53676
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 84,756,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,756,284) = 4
common factors(in case of two or more numbers have common factors) = 84
GCF(84,756,284) x common factors =4 x 84 = 336
LCM(84,756,284) = ( 84 × 756 × 284 ) / 336
LCM(84,756,284) = 18035136 / 336
LCM(84,756,284) = 53676
∴ Least Common Multiple of 84,756,284 is 53676
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 84, 756, 284?
Answer: LCM of 84, 756, 284 is 53676.
2. What are the Factors of 53676?
Answer: Factors of 53676 are . There are integers that are factors of 53676
3. How to Find the LCM of 84, 756, 284 ?
Least Common Multiple of 84, 756, 284.
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(84, 756, 284) = 2 x 2 x 3 x 3 x 3 x 7 x 71 = 53676.