Least Common Multiple of 748/72, 178/63, 954/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 748/72, 178/63, 954/867 quickly i.e. 10584948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 748/72, 178/63, 954/867 is 10584948.

LCM(748/72, 178/63, 954/867) = 10584948

LCM of 748/72, 178/63, 954/867

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 748/72,178/63,954/867

Given numbers are 748/72,178/63,954/867

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 748,178,954

Least Common Multiple of Numerators i.e. LCM of 748,178,954 is 31754844.

GCF of Denominators means GCF of 72,63,867 as per the given fractions.

GCF of 72,63,867 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 748,178,954

LCM of Fractions 748/72,178/63,954/867 is 10584948

2 748, 178, 954
374, 89, 477

∴ So the LCM of the given numbers is 2 x 374 x 89 x 477 = 31754844

Least Common Multiple of 748,178,954 with GCF Formula

Least Common Multiple of 748,178,954 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 748,178,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,178,954) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(748,178,954) x common factors =2 x 2 = 4

LCM(748,178,954) = ( 748 × 178 × 954 ) / 4

LCM(748,178,954) = 127019376 / 4

LCM(748,178,954) = 31754844


Lets's calculate GCF of 72,63,867

3 72, 63, 867
24, 21, 289

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31754844/3

Therefore the LCM of Fractions 748/72,178/63,954/867 is 10584948

Greatest Common Factor of 72,63,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,63,867 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 72,63,867 . The biggest common factor number is the GCF number.
So the greatest common factor 72,63,867 is 3.


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 748/72, 178/63, 954/867

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 748/72, 178/63, 954/867?

Answer: LCM of Numerators as per given numbers 748/72, 178/63, 954/867 is

LCM of Numerators i.e. for 748,178,954 is 31754844

GCF of denominators i.e. for 72,63,867 is 3.

Thus, LCM of Fractions is 10584948.Finally, LCM of Fractions for 748/72, 178/63, 954/867 is 10584948.