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 297, 354, 600, 418, 221 i.e. 14715815400 smallest integer divisible by all numbers.
Least common multiple (LCM) of 297, 354, 600, 418, 221 is 14715815400.
LCM(297, 354, 600, 418, 221) = 14715815400
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 297, 354, 600, 418, 221 |
3 | 297, 177, 300, 209, 221 |
11 | 99, 59, 100, 209, 221 |
9, 59, 100, 19, 221 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 9 x 59 x 100 x 19 x 221 = 14715815400
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 297,354,600,418,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,354,600,418,221) = 1
common factors(in case of two or more numbers have common factors) = 396
GCF(297,354,600,418,221) x common factors =1 x 396 = 396
LCM(297,354,600,418,221) = ( 297 × 354 × 600 × 418 × 221 ) / 396
LCM(297,354,600,418,221) = 5827462898400 / 396
LCM(297,354,600,418,221) = 14715815400
∴ Least Common Multiple of 297,354,600,418,221 is 14715815400
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 297, 354, 600, 418, 221?
Answer: LCM of 297, 354, 600, 418, 221 is 14715815400.
2. What are the Factors of 14715815400?
Answer: Factors of 14715815400 are . There are integers that are factors of 14715815400
3. How to Find the LCM of 297, 354, 600, 418, 221 ?
Least Common Multiple of 297, 354, 600, 418, 221.
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(297, 354, 600, 418, 221) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 11 x 13 x 17 x 19 x 59 = 14715815400.