Least Common Multiple of 270, 385, 770, 568, 705

Q: How to Find the LCM of 270, 385, 770, 568, 705 ?

Least Common Multiple of 270, 385, 770, 568, 705 = 277504920 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(270, 385, 770, 568, 705) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 11 x 47 x 71 = 277504920.

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 270, 385, 770, 568, 705 i.e. 277504920 smallest integer divisible by all numbers.

Least common multiple (LCM) of 270, 385, 770, 568, 705 is 277504920.

LCM(270, 385, 770, 568, 705) = 277504920

LCM of 270, 385, 770, 568, 705

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

Least Common Multiple of 270, 385, 770, 568, 705 by common division method
Least Common Multiple of 270, 385, 770, 568, 705 with GCF Formula

Least Common Multiple of 270,385,770,568,705

Least Common Multiple (LCM) of 270,385,770,568,705 is 277504920

2	270, 385, 770, 568, 705
3	135, 385, 385, 284, 705
5	45, 385, 385, 284, 235
7	9, 77, 77, 284, 47
11	9, 11, 11, 284, 47
	9, 1, 1, 284, 47

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 11 x 9 x 1 x 1 x 284 x 47 = 277504920

Least Common Multiple of 270,385,770,568,705 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 270,385,770,568,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,385,770,568,705) = 1

common factors(in case of two or more numbers have common factors) = 115500

GCF(270,385,770,568,705) x common factors =1 x 115500 = 115500

LCM(270,385,770,568,705) = ( 270 × 385 × 770 × 568 × 705 ) / 115500

LCM(270,385,770,568,705) = 32051818260000 / 115500

LCM(270,385,770,568,705) = 277504920

∴ Least Common Multiple of 270,385,770,568,705 is 277504920

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 270, 385, 770, 568, 705

1. What is the LCM of 270, 385, 770, 568, 705?

Answer: LCM of 270, 385, 770, 568, 705 is 277504920.

2. What are the Factors of 277504920?

Answer: Factors of 277504920 are . There are integers that are factors of 277504920

3. How to Find the LCM of 270, 385, 770, 568, 705 ?

Least Common Multiple of 270, 385, 770, 568, 705.

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(270, 385, 770, 568, 705) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 11 x 47 x 71 = 277504920.