Least Common Multiple of 254/360, 393/216, 143/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 254/360, 393/216, 143/926 quickly i.e. 7137273 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 254/360, 393/216, 143/926 is 7137273.

LCM(254/360, 393/216, 143/926) = 7137273

LCM of 254/360, 393/216, 143/926

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 254/360,393/216,143/926

Given numbers are 254/360,393/216,143/926

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 254,393,143

Least Common Multiple of Numerators i.e. LCM of 254,393,143 is 14274546.

GCF of Denominators means GCF of 360,216,926 as per the given fractions.

GCF of 360,216,926 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 254,393,143

LCM of Fractions 254/360,393/216,143/926 is 7137273

Given numbers has no common factors except 1. So, there LCM is their product i.e 14274546

Least Common Multiple of 254,393,143 with GCF Formula

Least Common Multiple of 254,393,143 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 254,393,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,393,143) = 1

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

GCF(254,393,143) x common factors =1 x 1 = 1

LCM(254,393,143) = ( 254 × 393 × 143 ) / 1

LCM(254,393,143) = 14274546 / 1

LCM(254,393,143) = 14274546


Lets's calculate GCF of 360,216,926

2 360, 216, 926
180, 108, 463

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14274546/2

Therefore the LCM of Fractions 254/360,393/216,143/926 is 7137273

Greatest Common Factor of 360,216,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,216,926 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 360,216,926 . The biggest common factor number is the GCF number.
So the greatest common factor 360,216,926 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 254/360, 393/216, 143/926

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 254/360, 393/216, 143/926?

Answer: LCM of Numerators as per given numbers 254/360, 393/216, 143/926 is

LCM of Numerators i.e. for 254,393,143 is 14274546

GCF of denominators i.e. for 360,216,926 is 2.

Thus, LCM of Fractions is 7137273.Finally, LCM of Fractions for 254/360, 393/216, 143/926 is 7137273.