Least Common Multiple of 1/12, 71/152, 32/779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1/12, 71/152, 32/779 quickly i.e. 2272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/12, 71/152, 32/779 is 2272.

LCM(1/12, 71/152, 32/779) = 2272

LCM of 1/12, 71/152, 32/779

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 1/12,71/152,32/779

Given numbers are 1/12,71/152,32/779

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 1,71,32

Least Common Multiple of Numerators i.e. LCM of 1,71,32 is 2272.

GCF of Denominators means GCF of 12,152,779 as per the given fractions.

GCF of 12,152,779 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,71,32

LCM of Fractions 1/12,71/152,32/779 is 2272

Given numbers has no common factors except 1. So, there LCM is their product i.e 2272

Least Common Multiple of 1,71,32 with GCF Formula

Least Common Multiple of 1,71,32 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 1,71,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,71,32) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(1,71,32) x common factors =1 x 1 = 1

LCM(1,71,32) = ( 1 × 71 × 32 ) / 1

LCM(1,71,32) = 2272 / 1

LCM(1,71,32) = 2272


Lets's calculate GCF of 12,152,779

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2272/1

Therefore the LCM of Fractions 1/12,71/152,32/779 is 2272

Greatest Common Factor of 12,152,779 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,152,779 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

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 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Greatest Common Factor

We found the factors 12,152,779 . The biggest common factor number is the GCF number.
So the greatest common factor 12,152,779 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1/12, 71/152, 32/779

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 1/12, 71/152, 32/779?

Answer: LCM of Numerators as per given numbers 1/12, 71/152, 32/779 is

LCM of Numerators i.e. for 1,71,32 is 2272

GCF of denominators i.e. for 12,152,779 is 1.

Thus, LCM of Fractions is 2272.Finally, LCM of Fractions for 1/12, 71/152, 32/779 is 2272.