Least Common Multiple of 89, 14, 69, 356

Q: How to Find the LCM of 89, 14, 69, 356 ?

Least Common Multiple of 89, 14, 69, 356 = 171948 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(89, 14, 69, 356) = 2 x 2 x 3 x 7 x 23 x 89 = 171948.

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 89, 14, 69, 356 i.e. 171948 smallest integer divisible by all numbers.

Least common multiple (LCM) of 89, 14, 69, 356 is 171948.

LCM(89, 14, 69, 356) = 171948

LCM of 89, 14, 69, 356

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

Least Common Multiple of 89, 14, 69, 356 by common division method
Least Common Multiple of 89, 14, 69, 356 with GCF Formula

Least Common Multiple of 89,14,69,356

Least Common Multiple (LCM) of 89,14,69,356 is 171948

2	89, 14, 69, 356
89	89, 7, 69, 178
	1, 7, 69, 2

∴ So the LCM of the given numbers is 2 x 89 x 1 x 7 x 69 x 2 = 171948

Least Common Multiple of 89,14,69,356 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 89,14,69,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,14,69,356) = 1

common factors(in case of two or more numbers have common factors) = 178

GCF(89,14,69,356) x common factors =1 x 178 = 178

LCM(89,14,69,356) = ( 89 × 14 × 69 × 356 ) / 178

LCM(89,14,69,356) = 30606744 / 178

LCM(89,14,69,356) = 171948

∴ Least Common Multiple of 89,14,69,356 is 171948

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 89, 14, 69, 356

1. What is the LCM of 89, 14, 69, 356?

Answer: LCM of 89, 14, 69, 356 is 171948.

2. What are the Factors of 171948?

Answer: Factors of 171948 are . There are integers that are factors of 171948

3. How to Find the LCM of 89, 14, 69, 356 ?

Least Common Multiple of 89, 14, 69, 356.

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(89, 14, 69, 356) = 2 x 2 x 3 x 7 x 23 x 89 = 171948.