Least Common Multiple of 171, 960

Q: How to Find the LCM of 171, 960 ?

Least Common Multiple of 171, 960 = 54720 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(171, 960) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 19 = 54720.

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 171, 960 i.e. 54720 smallest integer divisible by all numbers.

Least common multiple (LCM) of 171, 960 is 54720.

LCM(171, 960) = 54720

LCM of 171, 960

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

Least Common Multiple of 171, 960 by common division method
Least Common Multiple of 171, 960 with GCF Formula

Least Common Multiple of 171,960

Least Common Multiple (LCM) of 171,960 is 54720

3	171, 960
	57, 320

∴ So the LCM of the given numbers is 3 x 57 x 320 = 54720

Least Common Multiple of 171,960 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 171,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,960) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(171,960) x common factors =3 x 1 = 3

LCM(171,960) = ( 171 × 960 ) / 3

LCM(171,960) = 164160 / 3

LCM(171,960) = 54720

∴ Least Common Multiple of 171,960 is 54720

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 171, 960

1. What is the LCM of 171, 960?

Answer: LCM of 171, 960 is 54720.

2. What are the Factors of 54720?

Answer: Factors of 54720 are . There are integers that are factors of 54720

3. How to Find the LCM of 171, 960 ?

Least Common Multiple of 171, 960.

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(171, 960) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 19 = 54720.