Least Common Multiple of 132/44, 2710/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 132/44, 2710/317 quickly i.e. 178860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 132/44, 2710/317 is 178860.

LCM(132/44, 2710/317) = 178860

LCM of 132/44, 2710/317

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 132/44,2710/317

Given numbers are 132/44,2710/317

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 132,2710

Least Common Multiple of Numerators i.e. LCM of 132,2710 is 178860.

GCF of Denominators means GCF of 44,317 as per the given fractions.

GCF of 44,317 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 132,2710

LCM of Fractions 132/44,2710/317 is 178860

2 132, 2710
66, 1355

∴ So the LCM of the given numbers is 2 x 66 x 1355 = 178860

Least Common Multiple of 132,2710 with GCF Formula

Least Common Multiple of 132,2710 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 132,2710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,2710) = 2

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

GCF(132,2710) x common factors =2 x 1 = 2

LCM(132,2710) = ( 132 × 2710 ) / 2

LCM(132,2710) = 357720 / 2

LCM(132,2710) = 178860


Lets's calculate GCF of 44,317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178860/1

Therefore the LCM of Fractions 132/44,2710/317 is 178860

Greatest Common Factor of 44,317 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,317 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Greatest Common Factor

We found the factors 44,317 . The biggest common factor number is the GCF number.
So the greatest common factor 44,317 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 132/44, 2710/317

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 132/44, 2710/317?

Answer: LCM of Numerators as per given numbers 132/44, 2710/317 is

LCM of Numerators i.e. for 132,2710 is 178860

GCF of denominators i.e. for 44,317 is 1.

Thus, LCM of Fractions is 178860.Finally, LCM of Fractions for 132/44, 2710/317 is 178860.