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 636, 688, 429, 720 i.e. 234645840 smallest integer divisible by all numbers.
Least common multiple (LCM) of 636, 688, 429, 720 is 234645840.
LCM(636, 688, 429, 720) = 234645840
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 636, 688, 429, 720 |
2 | 318, 344, 429, 360 |
2 | 159, 172, 429, 180 |
2 | 159, 86, 429, 90 |
3 | 159, 43, 429, 45 |
53, 43, 143, 15 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 53 x 43 x 143 x 15 = 234645840
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 636,688,429,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,688,429,720) = 1
common factors(in case of two or more numbers have common factors) = 576
GCF(636,688,429,720) x common factors =1 x 576 = 576
LCM(636,688,429,720) = ( 636 × 688 × 429 × 720 ) / 576
LCM(636,688,429,720) = 135156003840 / 576
LCM(636,688,429,720) = 234645840
∴ Least Common Multiple of 636,688,429,720 is 234645840
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 636, 688, 429, 720?
Answer: LCM of 636, 688, 429, 720 is 234645840.
2. What are the Factors of 234645840?
Answer: Factors of 234645840 are . There are integers that are factors of 234645840
3. How to Find the LCM of 636, 688, 429, 720 ?
Least Common Multiple of 636, 688, 429, 720.
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(636, 688, 429, 720) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 13 x 43 x 53 = 234645840.