Least Common Multiple of 21, 56, 14, 9, 68

Q: How to Find the LCM of 21, 56, 14, 9, 68 ?

Least Common Multiple of 21, 56, 14, 9, 68 = 8568 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(21, 56, 14, 9, 68) = 2 x 2 x 2 x 3 x 3 x 7 x 17 = 8568.

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 21, 56, 14, 9, 68 i.e. 8568 smallest integer divisible by all numbers.

Least common multiple (LCM) of 21, 56, 14, 9, 68 is 8568.

LCM(21, 56, 14, 9, 68) = 8568

LCM of 21, 56, 14, 9, 68

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

Least Common Multiple of 21, 56, 14, 9, 68 by common division method
Least Common Multiple of 21, 56, 14, 9, 68 with GCF Formula

Least Common Multiple of 21,56,14,9,68

Least Common Multiple (LCM) of 21,56,14,9,68 is 8568

2	21, 56, 14, 9, 68
2	21, 28, 7, 9, 34
3	21, 14, 7, 9, 17
7	7, 14, 7, 3, 17
	1, 2, 1, 3, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 2 x 1 x 3 x 17 = 8568

Least Common Multiple of 21,56,14,9,68 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 21,56,14,9,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,56,14,9,68) = 1

common factors(in case of two or more numbers have common factors) = 1176

GCF(21,56,14,9,68) x common factors =1 x 1176 = 1176

LCM(21,56,14,9,68) = ( 21 × 56 × 14 × 9 × 68 ) / 1176

LCM(21,56,14,9,68) = 10075968 / 1176

LCM(21,56,14,9,68) = 8568

∴ Least Common Multiple of 21,56,14,9,68 is 8568

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 21, 56, 14, 9, 68

1. What is the LCM of 21, 56, 14, 9, 68?

Answer: LCM of 21, 56, 14, 9, 68 is 8568.

2. What are the Factors of 8568?

Answer: Factors of 8568 are . There are integers that are factors of 8568

3. How to Find the LCM of 21, 56, 14, 9, 68 ?

Least Common Multiple of 21, 56, 14, 9, 68.

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(21, 56, 14, 9, 68) = 2 x 2 x 2 x 3 x 3 x 7 x 17 = 8568.