Least Common Multiple of 31/152, 548/138, 172/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/152, 548/138, 172/706 quickly i.e. 365242 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/152, 548/138, 172/706 is 365242.

LCM(31/152, 548/138, 172/706) = 365242

LCM of 31/152, 548/138, 172/706

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 31/152,548/138,172/706

Given numbers are 31/152,548/138,172/706

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 31,548,172

Least Common Multiple of Numerators i.e. LCM of 31,548,172 is 730484.

GCF of Denominators means GCF of 152,138,706 as per the given fractions.

GCF of 152,138,706 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,548,172

LCM of Fractions 31/152,548/138,172/706 is 365242

2 31, 548, 172
2 31, 274, 86
31, 137, 43

∴ So the LCM of the given numbers is 2 x 2 x 31 x 137 x 43 = 730484

Least Common Multiple of 31,548,172 with GCF Formula

Least Common Multiple of 31,548,172 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 31,548,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,548,172) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(31,548,172) x common factors =1 x 4 = 4

LCM(31,548,172) = ( 31 × 548 × 172 ) / 4

LCM(31,548,172) = 2921936 / 4

LCM(31,548,172) = 730484


Lets's calculate GCF of 152,138,706

2 152, 138, 706
76, 69, 353

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 730484/2

Therefore the LCM of Fractions 31/152,548/138,172/706 is 365242

Greatest Common Factor of 152,138,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,138,706 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

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

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 152,138,706 . The biggest common factor number is the GCF number.
So the greatest common factor 152,138,706 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 31/152, 548/138, 172/706

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 31/152, 548/138, 172/706?

Answer: LCM of Numerators as per given numbers 31/152, 548/138, 172/706 is

LCM of Numerators i.e. for 31,548,172 is 730484

GCF of denominators i.e. for 152,138,706 is 2.

Thus, LCM of Fractions is 365242.Finally, LCM of Fractions for 31/152, 548/138, 172/706 is 365242.