Least Common Multiple of 815, 736, 414

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 815, 736, 414 i.e. 5398560 smallest integer divisible by all numbers.

Least common multiple (LCM) of 815, 736, 414 is 5398560.

LCM(815, 736, 414) = 5398560

LCM of 815, 736, 414

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

LCM of:

Least Common Multiple of 815,736,414

Least Common Multiple (LCM) of 815,736,414 is 5398560

2 815, 736, 414
23 815, 368, 207
815, 16, 9

∴ So the LCM of the given numbers is 2 x 23 x 815 x 16 x 9 = 5398560

Least Common Multiple of 815,736,414 with GCF Formula

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 815,736,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(815,736,414) = 1

common factors(in case of two or more numbers have common factors) = 46

GCF(815,736,414) x common factors =1 x 46 = 46

LCM(815,736,414) = ( 815 × 736 × 414 ) / 46

LCM(815,736,414) = 248333760 / 46

LCM(815,736,414) = 5398560

∴ Least Common Multiple of 815,736,414 is 5398560

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 815, 736, 414

1. What is the LCM of 815, 736, 414?

Answer: LCM of 815, 736, 414 is 5398560.

2. What are the Factors of 5398560?

Answer: Factors of 5398560 are . There are integers that are factors of 5398560

3. How to Find the LCM of 815, 736, 414 ?

Least Common Multiple of 815, 736, 414.

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(815, 736, 414) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 23 x 163 = 5398560.