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 488, 901, 456 i.e. 25062216 smallest integer divisible by all numbers.
Least common multiple (LCM) of 488, 901, 456 is 25062216.
LCM(488, 901, 456) = 25062216
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 488, 901, 456 |
2 | 244, 901, 228 |
2 | 122, 901, 114 |
61, 901, 57 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 61 x 901 x 57 = 25062216
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 488,901,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,901,456) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(488,901,456) x common factors =1 x 8 = 8
LCM(488,901,456) = ( 488 × 901 × 456 ) / 8
LCM(488,901,456) = 200497728 / 8
LCM(488,901,456) = 25062216
∴ Least Common Multiple of 488,901,456 is 25062216
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 488, 901, 456?
Answer: LCM of 488, 901, 456 is 25062216.
2. What are the Factors of 25062216?
Answer: Factors of 25062216 are . There are integers that are factors of 25062216
3. How to Find the LCM of 488, 901, 456 ?
Least Common Multiple of 488, 901, 456.
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(488, 901, 456) = 2 x 2 x 2 x 3 x 17 x 19 x 53 x 61 = 25062216.