Least Common Multiple of 546/96, 385/40, 375/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 546/96, 385/40, 375/916 quickly i.e. 750750/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 546/96, 385/40, 375/916 is 750750/4.

LCM(546/96, 385/40, 375/916) = 750750/4

LCM of 546/96, 385/40, 375/916

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 546/96,385/40,375/916

Given numbers are 546/96,385/40,375/916

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 546,385,375

Least Common Multiple of Numerators i.e. LCM of 546,385,375 is 750750.

GCF of Denominators means GCF of 96,40,916 as per the given fractions.

GCF of 96,40,916 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 546,385,375

LCM of Fractions 546/96,385/40,375/916 is 750750/4

3 546, 385, 375
5 182, 385, 125
7 182, 77, 25
26, 11, 25

∴ So the LCM of the given numbers is 3 x 5 x 7 x 26 x 11 x 25 = 750750

Least Common Multiple of 546,385,375 with GCF Formula

Least Common Multiple of 546,385,375 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 546,385,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,385,375) = 1

common factors(in case of two or more numbers have common factors) = 105

GCF(546,385,375) x common factors =1 x 105 = 105

LCM(546,385,375) = ( 546 × 385 × 375 ) / 105

LCM(546,385,375) = 78828750 / 105

LCM(546,385,375) = 750750


Lets's calculate GCF of 96,40,916

2 96, 40, 916
2 48, 20, 458
24, 10, 229

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 750750/4

Therefore the LCM of Fractions 546/96,385/40,375/916 is 750750/4

Greatest Common Factor of 96,40,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,40,916 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 96,40,916 . The biggest common factor number is the GCF number.
So the greatest common factor 96,40,916 is 4.


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 546/96, 385/40, 375/916

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 546/96, 385/40, 375/916?

Answer: LCM of Numerators as per given numbers 546/96, 385/40, 375/916 is

LCM of Numerators i.e. for 546,385,375 is 750750

GCF of denominators i.e. for 96,40,916 is 4.

Thus, LCM of Fractions is 750750/4.Finally, LCM of Fractions for 546/96, 385/40, 375/916 is 750750/4.