Least Common Multiple of 353/96, 544/88, 254/439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 353/96, 544/88, 254/439 quickly i.e. 24388064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 353/96, 544/88, 254/439 is 24388064.

LCM(353/96, 544/88, 254/439) = 24388064

LCM of 353/96, 544/88, 254/439

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 353/96,544/88,254/439

Given numbers are 353/96,544/88,254/439

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 353,544,254

Least Common Multiple of Numerators i.e. LCM of 353,544,254 is 24388064.

GCF of Denominators means GCF of 96,88,439 as per the given fractions.

GCF of 96,88,439 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 353,544,254

LCM of Fractions 353/96,544/88,254/439 is 24388064

2 353, 544, 254
353, 272, 127

∴ So the LCM of the given numbers is 2 x 353 x 272 x 127 = 24388064

Least Common Multiple of 353,544,254 with GCF Formula

Least Common Multiple of 353,544,254 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 353,544,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,544,254) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(353,544,254) x common factors =1 x 2 = 2

LCM(353,544,254) = ( 353 × 544 × 254 ) / 2

LCM(353,544,254) = 48776128 / 2

LCM(353,544,254) = 24388064


Lets's calculate GCF of 96,88,439

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24388064/1

Therefore the LCM of Fractions 353/96,544/88,254/439 is 24388064

Greatest Common Factor of 96,88,439 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,88,439 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Greatest Common Factor

We found the factors 96,88,439 . The biggest common factor number is the GCF number.
So the greatest common factor 96,88,439 is 1.


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 353/96, 544/88, 254/439

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 353/96, 544/88, 254/439?

Answer: LCM of Numerators as per given numbers 353/96, 544/88, 254/439 is

LCM of Numerators i.e. for 353,544,254 is 24388064

GCF of denominators i.e. for 96,88,439 is 1.

Thus, LCM of Fractions is 24388064.Finally, LCM of Fractions for 353/96, 544/88, 254/439 is 24388064.