Least Common Multiple of 5376/59, 7653/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5376/59, 7653/354 quickly i.e. 13714176/59 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5376/59, 7653/354 is 13714176/59.

LCM(5376/59, 7653/354) = 13714176/59

LCM of 5376/59, 7653/354

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 5376/59,7653/354

Given numbers are 5376/59,7653/354

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 5376,7653

Least Common Multiple of Numerators i.e. LCM of 5376,7653 is 13714176.

GCF of Denominators means GCF of 59,354 as per the given fractions.

GCF of 59,354 is 59 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5376,7653

LCM of Fractions 5376/59,7653/354 is 13714176/59

3 5376, 7653
1792, 2551

∴ So the LCM of the given numbers is 3 x 1792 x 2551 = 13714176

Least Common Multiple of 5376,7653 with GCF Formula

Least Common Multiple of 5376,7653 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 5376,7653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5376,7653) = 3

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

GCF(5376,7653) x common factors =3 x 1 = 3

LCM(5376,7653) = ( 5376 × 7653 ) / 3

LCM(5376,7653) = 41142528 / 3

LCM(5376,7653) = 13714176


Lets's calculate GCF of 59,354

59 59, 354
1, 6

∴ So the GCF of the given numbers is 59 = 59

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13714176/59

Therefore the LCM of Fractions 5376/59,7653/354 is 13714176/59

Greatest Common Factor of 59,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,354 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 59,354 . The biggest common factor number is the GCF number.
So the greatest common factor 59,354 is 59.


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 5376/59, 7653/354

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 5376/59, 7653/354?

Answer: LCM of Numerators as per given numbers 5376/59, 7653/354 is

LCM of Numerators i.e. for 5376,7653 is 13714176

GCF of denominators i.e. for 59,354 is 59.

Thus, LCM of Fractions is 13714176/59.Finally, LCM of Fractions for 5376/59, 7653/354 is 13714176/59.