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 536, 968, 433, 418 i.e. 533570312 smallest integer divisible by all numbers.
Least common multiple (LCM) of 536, 968, 433, 418 is 533570312.
LCM(536, 968, 433, 418) = 533570312
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 536, 968, 433, 418 |
2 | 268, 484, 433, 209 |
2 | 134, 242, 433, 209 |
11 | 67, 121, 433, 209 |
67, 11, 433, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 67 x 11 x 433 x 19 = 533570312
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 536,968,433,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,968,433,418) = 1
common factors(in case of two or more numbers have common factors) = 176
GCF(536,968,433,418) x common factors =1 x 176 = 176
LCM(536,968,433,418) = ( 536 × 968 × 433 × 418 ) / 176
LCM(536,968,433,418) = 93908374912 / 176
LCM(536,968,433,418) = 533570312
∴ Least Common Multiple of 536,968,433,418 is 533570312
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 536, 968, 433, 418?
Answer: LCM of 536, 968, 433, 418 is 533570312.
2. What are the Factors of 533570312?
Answer: Factors of 533570312 are . There are integers that are factors of 533570312
3. How to Find the LCM of 536, 968, 433, 418 ?
Least Common Multiple of 536, 968, 433, 418.
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(536, 968, 433, 418) = 2 x 2 x 2 x 11 x 11 x 19 x 67 x 433 = 533570312.