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 457, 171, 561, 646 i.e. 29226978 smallest integer divisible by all numbers.
Least common multiple (LCM) of 457, 171, 561, 646 is 29226978.
LCM(457, 171, 561, 646) = 29226978
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 457, 171, 561, 646 |
17 | 457, 57, 187, 646 |
19 | 457, 57, 11, 38 |
457, 3, 11, 2 |
∴ So the LCM of the given numbers is 3 x 17 x 19 x 457 x 3 x 11 x 2 = 29226978
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 457,171,561,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,171,561,646) = 1
common factors(in case of two or more numbers have common factors) = 969
GCF(457,171,561,646) x common factors =1 x 969 = 969
LCM(457,171,561,646) = ( 457 × 171 × 561 × 646 ) / 969
LCM(457,171,561,646) = 28320941682 / 969
LCM(457,171,561,646) = 29226978
∴ Least Common Multiple of 457,171,561,646 is 29226978
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 457, 171, 561, 646?
Answer: LCM of 457, 171, 561, 646 is 29226978.
2. What are the Factors of 29226978?
Answer: Factors of 29226978 are . There are integers that are factors of 29226978
3. How to Find the LCM of 457, 171, 561, 646 ?
Least Common Multiple of 457, 171, 561, 646.
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(457, 171, 561, 646) = 2 x 3 x 3 x 11 x 17 x 19 x 457 = 29226978.