Least Common Multiple of 315, 253, 165, 416, 816

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 315, 253, 165, 416, 816 i.e. 563603040 smallest integer divisible by all numbers.

Least common multiple (LCM) of 315, 253, 165, 416, 816 is 563603040.

LCM(315, 253, 165, 416, 816) = 563603040

LCM of 315, 253, 165, 416, 816

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

LCM of:

Least Common Multiple of 315,253,165,416,816

Least Common Multiple (LCM) of 315,253,165,416,816 is 563603040

2 315, 253, 165, 416, 816
2 315, 253, 165, 208, 408
2 315, 253, 165, 104, 204
2 315, 253, 165, 52, 102
3 315, 253, 165, 26, 51
5 105, 253, 55, 26, 17
11 21, 253, 11, 26, 17
21, 23, 1, 26, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 11 x 21 x 23 x 1 x 26 x 17 = 563603040

Least Common Multiple of 315,253,165,416,816 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 315,253,165,416,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,253,165,416,816) = 1

common factors(in case of two or more numbers have common factors) = 7920

GCF(315,253,165,416,816) x common factors =1 x 7920 = 7920

LCM(315,253,165,416,816) = ( 315 × 253 × 165 × 416 × 816 ) / 7920

LCM(315,253,165,416,816) = 4463736076800 / 7920

LCM(315,253,165,416,816) = 563603040

∴ Least Common Multiple of 315,253,165,416,816 is 563603040

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 315, 253, 165, 416, 816

1. What is the LCM of 315, 253, 165, 416, 816?

Answer: LCM of 315, 253, 165, 416, 816 is 563603040.

2. What are the Factors of 563603040?

Answer: Factors of 563603040 are . There are integers that are factors of 563603040

3. How to Find the LCM of 315, 253, 165, 416, 816 ?

Least Common Multiple of 315, 253, 165, 416, 816.

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(315, 253, 165, 416, 816) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 13 x 17 x 23 = 563603040.