Least Common Multiple of 990, 418, 213, 416

Q: How to Find the LCM of 990, 418, 213, 416 ?

Least Common Multiple of 990, 418, 213, 416 = 277786080 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(990, 418, 213, 416) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 13 x 19 x 71 = 277786080.

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 990, 418, 213, 416 i.e. 277786080 smallest integer divisible by all numbers.

Least common multiple (LCM) of 990, 418, 213, 416 is 277786080.

LCM(990, 418, 213, 416) = 277786080

LCM of 990, 418, 213, 416

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 990, 418, 213, 416 by common division method
Least Common Multiple of 990, 418, 213, 416 with GCF Formula

Least Common Multiple of 990,418,213,416

Least Common Multiple (LCM) of 990,418,213,416 is 277786080

2	990, 418, 213, 416
3	495, 209, 213, 208
11	165, 209, 71, 208
	15, 19, 71, 208

∴ So the LCM of the given numbers is 2 x 3 x 11 x 15 x 19 x 71 x 208 = 277786080

Least Common Multiple of 990,418,213,416 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 990,418,213,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(990,418,213,416) = 1

common factors(in case of two or more numbers have common factors) = 132

GCF(990,418,213,416) x common factors =1 x 132 = 132

LCM(990,418,213,416) = ( 990 × 418 × 213 × 416 ) / 132

LCM(990,418,213,416) = 36667762560 / 132

LCM(990,418,213,416) = 277786080

∴ Least Common Multiple of 990,418,213,416 is 277786080

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 990, 418, 213, 416

1. What is the LCM of 990, 418, 213, 416?

Answer: LCM of 990, 418, 213, 416 is 277786080.

2. What are the Factors of 277786080?

Answer: Factors of 277786080 are . There are integers that are factors of 277786080

3. How to Find the LCM of 990, 418, 213, 416 ?

Least Common Multiple of 990, 418, 213, 416.

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(990, 418, 213, 416) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 13 x 19 x 71 = 277786080.