Least Common Multiple of 7144/254, 4522/2544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7144/254, 4522/2544 quickly i.e. 425068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7144/254, 4522/2544 is 425068.

LCM(7144/254, 4522/2544) = 425068

LCM of 7144/254, 4522/2544

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 7144/254,4522/2544

Given numbers are 7144/254,4522/2544

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 7144,4522

Least Common Multiple of Numerators i.e. LCM of 7144,4522 is 850136.

GCF of Denominators means GCF of 254,2544 as per the given fractions.

GCF of 254,2544 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7144,4522

LCM of Fractions 7144/254,4522/2544 is 425068

2 7144, 4522
19 3572, 2261
188, 119

∴ So the LCM of the given numbers is 2 x 19 x 188 x 119 = 850136

Least Common Multiple of 7144,4522 with GCF Formula

Least Common Multiple of 7144,4522 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 7144,4522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7144,4522) = 38

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

GCF(7144,4522) x common factors =38 x 1 = 38

LCM(7144,4522) = ( 7144 × 4522 ) / 38

LCM(7144,4522) = 32305168 / 38

LCM(7144,4522) = 850136


Lets's calculate GCF of 254,2544

2 254, 2544
127, 1272

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 850136/2

Therefore the LCM of Fractions 7144/254,4522/2544 is 425068

Greatest Common Factor of 254,2544 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,2544 By Matching Biggest Common Factor Method

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 2544

List of positive integer factors of 2544 that divides 2544 without a remainder.

1,2,3,4,6,8,12,16,24,48,53,106,159,212,318,424,636,848,1272,2544

Greatest Common Factor

We found the factors 254,2544 . The biggest common factor number is the GCF number.
So the greatest common factor 254,2544 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 7144/254, 4522/2544

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 7144/254, 4522/2544?

Answer: LCM of Numerators as per given numbers 7144/254, 4522/2544 is

LCM of Numerators i.e. for 7144,4522 is 850136

GCF of denominators i.e. for 254,2544 is 2.

Thus, LCM of Fractions is 425068.Finally, LCM of Fractions for 7144/254, 4522/2544 is 425068.