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 88, 12, 47, 564 i.e. 12408 smallest integer divisible by all numbers.
Least common multiple (LCM) of 88, 12, 47, 564 is 12408.
LCM(88, 12, 47, 564) = 12408
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 88, 12, 47, 564 |
2 | 44, 6, 47, 282 |
3 | 22, 3, 47, 141 |
47 | 22, 1, 47, 47 |
22, 1, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 22 x 1 x 1 x 1 = 12408
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 88,12,47,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,12,47,564) = 1
common factors(in case of two or more numbers have common factors) = 2256
GCF(88,12,47,564) x common factors =1 x 2256 = 2256
LCM(88,12,47,564) = ( 88 × 12 × 47 × 564 ) / 2256
LCM(88,12,47,564) = 27992448 / 2256
LCM(88,12,47,564) = 12408
∴ Least Common Multiple of 88,12,47,564 is 12408
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 88, 12, 47, 564?
Answer: LCM of 88, 12, 47, 564 is 12408.
2. What are the Factors of 12408?
Answer: Factors of 12408 are . There are integers that are factors of 12408
3. How to Find the LCM of 88, 12, 47, 564 ?
Least Common Multiple of 88, 12, 47, 564.
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(88, 12, 47, 564) = 2 x 2 x 2 x 3 x 11 x 47 = 12408.