Least Common Multiple of 23/132, 252/709, 761/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/132, 252/709, 761/375 quickly i.e. 4410756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/132, 252/709, 761/375 is 4410756.

LCM(23/132, 252/709, 761/375) = 4410756

LCM of 23/132, 252/709, 761/375

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 23/132,252/709,761/375

Given numbers are 23/132,252/709,761/375

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 23,252,761

Least Common Multiple of Numerators i.e. LCM of 23,252,761 is 4410756.

GCF of Denominators means GCF of 132,709,375 as per the given fractions.

GCF of 132,709,375 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,252,761

LCM of Fractions 23/132,252/709,761/375 is 4410756

Given numbers has no common factors except 1. So, there LCM is their product i.e 4410756

Least Common Multiple of 23,252,761 with GCF Formula

Least Common Multiple of 23,252,761 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 23,252,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,252,761) = 1

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

GCF(23,252,761) x common factors =1 x 1 = 1

LCM(23,252,761) = ( 23 × 252 × 761 ) / 1

LCM(23,252,761) = 4410756 / 1

LCM(23,252,761) = 4410756


Lets's calculate GCF of 132,709,375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4410756/1

Therefore the LCM of Fractions 23/132,252/709,761/375 is 4410756

Greatest Common Factor of 132,709,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,709,375 By Matching Biggest Common Factor Method

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 132,709,375 . The biggest common factor number is the GCF number.
So the greatest common factor 132,709,375 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 23/132, 252/709, 761/375

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 23/132, 252/709, 761/375?

Answer: LCM of Numerators as per given numbers 23/132, 252/709, 761/375 is

LCM of Numerators i.e. for 23,252,761 is 4410756

GCF of denominators i.e. for 132,709,375 is 1.

Thus, LCM of Fractions is 4410756.Finally, LCM of Fractions for 23/132, 252/709, 761/375 is 4410756.