Least Common Multiple of 68, 56, 42, 784

Q: How to Find the LCM of 68, 56, 42, 784 ?

Least Common Multiple of 68, 56, 42, 784 = 39984 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(68, 56, 42, 784) = 2 x 2 x 2 x 2 x 3 x 7 x 7 x 17 = 39984.

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 68, 56, 42, 784 i.e. 39984 smallest integer divisible by all numbers.

Least common multiple (LCM) of 68, 56, 42, 784 is 39984.

LCM(68, 56, 42, 784) = 39984

LCM of 68, 56, 42, 784

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

Least Common Multiple of 68, 56, 42, 784 by common division method
Least Common Multiple of 68, 56, 42, 784 with GCF Formula

Least Common Multiple of 68,56,42,784

Least Common Multiple (LCM) of 68,56,42,784 is 39984

2	68, 56, 42, 784
2	34, 28, 21, 392
2	17, 14, 21, 196
7	17, 7, 21, 98
	17, 1, 3, 14

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 17 x 1 x 3 x 14 = 39984

Least Common Multiple of 68,56,42,784 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 68,56,42,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,56,42,784) = 2

common factors(in case of two or more numbers have common factors) = 1568

GCF(68,56,42,784) x common factors =2 x 1568 = 3136

LCM(68,56,42,784) = ( 68 × 56 × 42 × 784 ) / 3136

LCM(68,56,42,784) = 125389824 / 3136

LCM(68,56,42,784) = 39984

∴ Least Common Multiple of 68,56,42,784 is 39984

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 68, 56, 42, 784

1. What is the LCM of 68, 56, 42, 784?

Answer: LCM of 68, 56, 42, 784 is 39984.

2. What are the Factors of 39984?

Answer: Factors of 39984 are . There are integers that are factors of 39984

3. How to Find the LCM of 68, 56, 42, 784 ?

Least Common Multiple of 68, 56, 42, 784.

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(68, 56, 42, 784) = 2 x 2 x 2 x 2 x 3 x 7 x 7 x 17 = 39984.