Least Common Multiple of 254, 371, 390, 480

Q: How to Find the LCM of 254, 371, 390, 480 ?

Least Common Multiple of 254, 371, 390, 480 = 294010080 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(254, 371, 390, 480) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 53 x 127 = 294010080.

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 254, 371, 390, 480 i.e. 294010080 smallest integer divisible by all numbers.

Least common multiple (LCM) of 254, 371, 390, 480 is 294010080.

LCM(254, 371, 390, 480) = 294010080

LCM of 254, 371, 390, 480

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

Least Common Multiple of 254, 371, 390, 480 by common division method
Least Common Multiple of 254, 371, 390, 480 with GCF Formula

Least Common Multiple of 254,371,390,480

Least Common Multiple (LCM) of 254,371,390,480 is 294010080

2	254, 371, 390, 480
3	127, 371, 195, 240
5	127, 371, 65, 80
	127, 371, 13, 16

∴ So the LCM of the given numbers is 2 x 3 x 5 x 127 x 371 x 13 x 16 = 294010080

Least Common Multiple of 254,371,390,480 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 254,371,390,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,371,390,480) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(254,371,390,480) x common factors =1 x 60 = 60

LCM(254,371,390,480) = ( 254 × 371 × 390 × 480 ) / 60

LCM(254,371,390,480) = 17640604800 / 60

LCM(254,371,390,480) = 294010080

∴ Least Common Multiple of 254,371,390,480 is 294010080

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 254, 371, 390, 480

1. What is the LCM of 254, 371, 390, 480?

Answer: LCM of 254, 371, 390, 480 is 294010080.

2. What are the Factors of 294010080?

Answer: Factors of 294010080 are . There are integers that are factors of 294010080

3. How to Find the LCM of 254, 371, 390, 480 ?

Least Common Multiple of 254, 371, 390, 480.

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(254, 371, 390, 480) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 53 x 127 = 294010080.