Least Common Multiple of 71, 56, 688

Q: How to Find the LCM of 71, 56, 688 ?

Least Common Multiple of 71, 56, 688 = 341936 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(71, 56, 688) = 2 x 2 x 2 x 2 x 7 x 43 x 71 = 341936.

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 71, 56, 688 i.e. 341936 smallest integer divisible by all numbers.

Least common multiple (LCM) of 71, 56, 688 is 341936.

LCM(71, 56, 688) = 341936

LCM of 71, 56, 688

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

Least Common Multiple of 71, 56, 688 by common division method
Least Common Multiple of 71, 56, 688 with GCF Formula

Least Common Multiple of 71,56,688

Least Common Multiple (LCM) of 71,56,688 is 341936

2	71, 56, 688
2	71, 28, 344
2	71, 14, 172
	71, 7, 86

∴ So the LCM of the given numbers is 2 x 2 x 2 x 71 x 7 x 86 = 341936

Least Common Multiple of 71,56,688 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 71,56,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,56,688) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(71,56,688) x common factors =1 x 8 = 8

LCM(71,56,688) = ( 71 × 56 × 688 ) / 8

LCM(71,56,688) = 2735488 / 8

LCM(71,56,688) = 341936

∴ Least Common Multiple of 71,56,688 is 341936

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 71, 56, 688

1. What is the LCM of 71, 56, 688?

Answer: LCM of 71, 56, 688 is 341936.

2. What are the Factors of 341936?

Answer: Factors of 341936 are . There are integers that are factors of 341936

3. How to Find the LCM of 71, 56, 688 ?

Least Common Multiple of 71, 56, 688.

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(71, 56, 688) = 2 x 2 x 2 x 2 x 7 x 43 x 71 = 341936.