Least Common Multiple of 31/178, 774/100, 746/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/178, 774/100, 746/304 quickly i.e. 4474881 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/178, 774/100, 746/304 is 4474881.

LCM(31/178, 774/100, 746/304) = 4474881

LCM of 31/178, 774/100, 746/304

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 31/178,774/100,746/304

Given numbers are 31/178,774/100,746/304

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 31,774,746

Least Common Multiple of Numerators i.e. LCM of 31,774,746 is 8949762.

GCF of Denominators means GCF of 178,100,304 as per the given fractions.

GCF of 178,100,304 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,774,746

LCM of Fractions 31/178,774/100,746/304 is 4474881

2 31, 774, 746
31, 387, 373

∴ So the LCM of the given numbers is 2 x 31 x 387 x 373 = 8949762

Least Common Multiple of 31,774,746 with GCF Formula

Least Common Multiple of 31,774,746 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 31,774,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,774,746) = 1

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

GCF(31,774,746) x common factors =1 x 2 = 2

LCM(31,774,746) = ( 31 × 774 × 746 ) / 2

LCM(31,774,746) = 17899524 / 2

LCM(31,774,746) = 8949762


Lets's calculate GCF of 178,100,304

2 178, 100, 304
89, 50, 152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8949762/2

Therefore the LCM of Fractions 31/178,774/100,746/304 is 4474881

Greatest Common Factor of 178,100,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,100,304 By Matching Biggest Common Factor Method

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 178,100,304 . The biggest common factor number is the GCF number.
So the greatest common factor 178,100,304 is 2.


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 31/178, 774/100, 746/304

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 31/178, 774/100, 746/304?

Answer: LCM of Numerators as per given numbers 31/178, 774/100, 746/304 is

LCM of Numerators i.e. for 31,774,746 is 8949762

GCF of denominators i.e. for 178,100,304 is 2.

Thus, LCM of Fractions is 4474881.Finally, LCM of Fractions for 31/178, 774/100, 746/304 is 4474881.