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 559, 387, 675, 468, 642 i.e. 161495100 smallest integer divisible by all numbers.
Least common multiple (LCM) of 559, 387, 675, 468, 642 is 161495100.
LCM(559, 387, 675, 468, 642) = 161495100
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 559, 387, 675, 468, 642 |
3 | 559, 387, 675, 234, 321 |
3 | 559, 129, 225, 78, 107 |
13 | 559, 43, 75, 26, 107 |
43 | 43, 43, 75, 2, 107 |
1, 1, 75, 2, 107 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 43 x 1 x 1 x 75 x 2 x 107 = 161495100
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 559,387,675,468,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,387,675,468,642) = 1
common factors(in case of two or more numbers have common factors) = 271674
GCF(559,387,675,468,642) x common factors =1 x 271674 = 271674
LCM(559,387,675,468,642) = ( 559 × 387 × 675 × 468 × 642 ) / 271674
LCM(559,387,675,468,642) = 43874019797400 / 271674
LCM(559,387,675,468,642) = 161495100
∴ Least Common Multiple of 559,387,675,468,642 is 161495100
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 559, 387, 675, 468, 642?
Answer: LCM of 559, 387, 675, 468, 642 is 161495100.
2. What are the Factors of 161495100?
Answer: Factors of 161495100 are . There are integers that are factors of 161495100
3. How to Find the LCM of 559, 387, 675, 468, 642 ?
Least Common Multiple of 559, 387, 675, 468, 642.
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(559, 387, 675, 468, 642) = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 13 x 43 x 107 = 161495100.