Least Common Multiple of 38/748, 95/423, 468/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/748, 95/423, 468/675 quickly i.e. 44460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/748, 95/423, 468/675 is 44460.

LCM(38/748, 95/423, 468/675) = 44460

LCM of 38/748, 95/423, 468/675

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 38/748,95/423,468/675

Given numbers are 38/748,95/423,468/675

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 38,95,468

Least Common Multiple of Numerators i.e. LCM of 38,95,468 is 44460.

GCF of Denominators means GCF of 748,423,675 as per the given fractions.

GCF of 748,423,675 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,95,468

LCM of Fractions 38/748,95/423,468/675 is 44460

2 38, 95, 468
19 19, 95, 234
1, 5, 234

∴ So the LCM of the given numbers is 2 x 19 x 1 x 5 x 234 = 44460

Least Common Multiple of 38,95,468 with GCF Formula

Least Common Multiple of 38,95,468 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 38,95,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,95,468) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(38,95,468) x common factors =1 x 38 = 38

LCM(38,95,468) = ( 38 × 95 × 468 ) / 38

LCM(38,95,468) = 1689480 / 38

LCM(38,95,468) = 44460


Lets's calculate GCF of 748,423,675

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44460/1

Therefore the LCM of Fractions 38/748,95/423,468/675 is 44460

Greatest Common Factor of 748,423,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,423,675 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 748,423,675 . The biggest common factor number is the GCF number.
So the greatest common factor 748,423,675 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 38/748, 95/423, 468/675

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 38/748, 95/423, 468/675?

Answer: LCM of Numerators as per given numbers 38/748, 95/423, 468/675 is

LCM of Numerators i.e. for 38,95,468 is 44460

GCF of denominators i.e. for 748,423,675 is 1.

Thus, LCM of Fractions is 44460.Finally, LCM of Fractions for 38/748, 95/423, 468/675 is 44460.