Least Common Multiple of 343, 870, 84

Q: How to Find the LCM of 343, 870, 84 ?

Least Common Multiple of 343, 870, 84 = 596820 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(343, 870, 84) = 2 x 2 x 3 x 5 x 7 x 7 x 7 x 29 = 596820.

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 343, 870, 84 i.e. 596820 smallest integer divisible by all numbers.

Least common multiple (LCM) of 343, 870, 84 is 596820.

LCM(343, 870, 84) = 596820

LCM of 343, 870, 84

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

Least Common Multiple of 343, 870, 84 by common division method
Least Common Multiple of 343, 870, 84 with GCF Formula

Least Common Multiple of 343,870,84

Least Common Multiple (LCM) of 343,870,84 is 596820

2	343, 870, 84
3	343, 435, 42
7	343, 145, 14
	49, 145, 2

∴ So the LCM of the given numbers is 2 x 3 x 7 x 49 x 145 x 2 = 596820

Least Common Multiple of 343,870,84 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 343,870,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,870,84) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(343,870,84) x common factors =1 x 42 = 42

LCM(343,870,84) = ( 343 × 870 × 84 ) / 42

LCM(343,870,84) = 25066440 / 42

LCM(343,870,84) = 596820

∴ Least Common Multiple of 343,870,84 is 596820

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 343, 870, 84

1. What is the LCM of 343, 870, 84?

Answer: LCM of 343, 870, 84 is 596820.

2. What are the Factors of 596820?

Answer: Factors of 596820 are . There are integers that are factors of 596820

3. How to Find the LCM of 343, 870, 84 ?

Least Common Multiple of 343, 870, 84.

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(343, 870, 84) = 2 x 2 x 3 x 5 x 7 x 7 x 7 x 29 = 596820.