Least Common Multiple of 144/96, 714/5356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/96, 714/5356 quickly i.e. 4284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/96, 714/5356 is 4284.

LCM(144/96, 714/5356) = 4284

LCM of 144/96, 714/5356

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 144/96,714/5356

Given numbers are 144/96,714/5356

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 144,714

Least Common Multiple of Numerators i.e. LCM of 144,714 is 17136.

GCF of Denominators means GCF of 96,5356 as per the given fractions.

GCF of 96,5356 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,714

LCM of Fractions 144/96,714/5356 is 4284

2 144, 714
3 72, 357
24, 119

∴ So the LCM of the given numbers is 2 x 3 x 24 x 119 = 17136

Least Common Multiple of 144,714 with GCF Formula

Least Common Multiple of 144,714 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 144,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,714) = 6

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

GCF(144,714) x common factors =6 x 1 = 6

LCM(144,714) = ( 144 × 714 ) / 6

LCM(144,714) = 102816 / 6

LCM(144,714) = 17136


Lets's calculate GCF of 96,5356

2 96, 5356
2 48, 2678
24, 1339

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17136/4

Therefore the LCM of Fractions 144/96,714/5356 is 4284

Greatest Common Factor of 96,5356 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,5356 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 5356

List of positive integer factors of 5356 that divides 5356 without a remainder.

1,2,4,13,26,52,103,206,412,1339,2678,5356

Greatest Common Factor

We found the factors 96,5356 . The biggest common factor number is the GCF number.
So the greatest common factor 96,5356 is 4.


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 144/96, 714/5356

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 144/96, 714/5356?

Answer: LCM of Numerators as per given numbers 144/96, 714/5356 is

LCM of Numerators i.e. for 144,714 is 17136

GCF of denominators i.e. for 96,5356 is 4.

Thus, LCM of Fractions is 4284.Finally, LCM of Fractions for 144/96, 714/5356 is 4284.