Least Common Multiple of 5876/88, 7293/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5876/88, 7293/175 quickly i.e. 3296436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5876/88, 7293/175 is 3296436.

LCM(5876/88, 7293/175) = 3296436

LCM of 5876/88, 7293/175

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 5876/88,7293/175

Given numbers are 5876/88,7293/175

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 5876,7293

Least Common Multiple of Numerators i.e. LCM of 5876,7293 is 3296436.

GCF of Denominators means GCF of 88,175 as per the given fractions.

GCF of 88,175 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5876,7293

LCM of Fractions 5876/88,7293/175 is 3296436

13 5876, 7293
452, 561

∴ So the LCM of the given numbers is 13 x 452 x 561 = 3296436

Least Common Multiple of 5876,7293 with GCF Formula

Least Common Multiple of 5876,7293 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 5876,7293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5876,7293) = 13

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

GCF(5876,7293) x common factors =13 x 1 = 13

LCM(5876,7293) = ( 5876 × 7293 ) / 13

LCM(5876,7293) = 42853668 / 13

LCM(5876,7293) = 3296436


Lets's calculate GCF of 88,175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3296436/1

Therefore the LCM of Fractions 5876/88,7293/175 is 3296436

Greatest Common Factor of 88,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,175 By Matching Biggest Common Factor Method

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 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 88,175 . The biggest common factor number is the GCF number.
So the greatest common factor 88,175 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5876/88, 7293/175

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 5876/88, 7293/175?

Answer: LCM of Numerators as per given numbers 5876/88, 7293/175 is

LCM of Numerators i.e. for 5876,7293 is 3296436

GCF of denominators i.e. for 88,175 is 1.

Thus, LCM of Fractions is 3296436.Finally, LCM of Fractions for 5876/88, 7293/175 is 3296436.