Least Common Multiple of 14, 21, 408, 616

Q: How to Find the LCM of 14, 21, 408, 616 ?

Least Common Multiple of 14, 21, 408, 616 = 31416 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(14, 21, 408, 616) = 2 x 2 x 2 x 3 x 7 x 11 x 17 = 31416.

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 14, 21, 408, 616 i.e. 31416 smallest integer divisible by all numbers.

Least common multiple (LCM) of 14, 21, 408, 616 is 31416.

LCM(14, 21, 408, 616) = 31416

LCM of 14, 21, 408, 616

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

Least Common Multiple of 14, 21, 408, 616 by common division method
Least Common Multiple of 14, 21, 408, 616 with GCF Formula

Least Common Multiple of 14,21,408,616

Least Common Multiple (LCM) of 14,21,408,616 is 31416

2	14, 21, 408, 616
2	7, 21, 204, 308
2	7, 21, 102, 154
3	7, 21, 51, 77
7	7, 7, 17, 77
	1, 1, 17, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 1 x 1 x 17 x 11 = 31416

Least Common Multiple of 14,21,408,616 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 14,21,408,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,21,408,616) = 1

common factors(in case of two or more numbers have common factors) = 2352

GCF(14,21,408,616) x common factors =1 x 2352 = 2352

LCM(14,21,408,616) = ( 14 × 21 × 408 × 616 ) / 2352

LCM(14,21,408,616) = 73890432 / 2352

LCM(14,21,408,616) = 31416

∴ Least Common Multiple of 14,21,408,616 is 31416

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 14, 21, 408, 616

1. What is the LCM of 14, 21, 408, 616?

Answer: LCM of 14, 21, 408, 616 is 31416.

2. What are the Factors of 31416?

Answer: Factors of 31416 are . There are integers that are factors of 31416

3. How to Find the LCM of 14, 21, 408, 616 ?

Least Common Multiple of 14, 21, 408, 616.

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(14, 21, 408, 616) = 2 x 2 x 2 x 3 x 7 x 11 x 17 = 31416.