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 635, 180, 680, 497, 736 i.e. 35538521760 smallest integer divisible by all numbers.
Least common multiple (LCM) of 635, 180, 680, 497, 736 is 35538521760.
LCM(635, 180, 680, 497, 736) = 35538521760
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 635, 180, 680, 497, 736 |
2 | 635, 90, 340, 497, 368 |
2 | 635, 45, 170, 497, 184 |
5 | 635, 45, 85, 497, 92 |
127, 9, 17, 497, 92 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 127 x 9 x 17 x 497 x 92 = 35538521760
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 635,180,680,497,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(635,180,680,497,736) = 1
common factors(in case of two or more numbers have common factors) = 800
GCF(635,180,680,497,736) x common factors =1 x 800 = 800
LCM(635,180,680,497,736) = ( 635 × 180 × 680 × 497 × 736 ) / 800
LCM(635,180,680,497,736) = 28430817408000 / 800
LCM(635,180,680,497,736) = 35538521760
∴ Least Common Multiple of 635,180,680,497,736 is 35538521760
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 635, 180, 680, 497, 736?
Answer: LCM of 635, 180, 680, 497, 736 is 35538521760.
2. What are the Factors of 35538521760?
Answer: Factors of 35538521760 are . There are integers that are factors of 35538521760
3. How to Find the LCM of 635, 180, 680, 497, 736 ?
Least Common Multiple of 635, 180, 680, 497, 736.
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(635, 180, 680, 497, 736) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 17 x 23 x 71 x 127 = 35538521760.