Least Common Multiple of 1/52, 31/132, 49/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/52, 31/132, 49/205 quickly i.e. 1519 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/52, 31/132, 49/205 is 1519.

LCM(1/52, 31/132, 49/205) = 1519

LCM of 1/52, 31/132, 49/205

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 1/52,31/132,49/205

Given numbers are 1/52,31/132,49/205

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 1,31,49

Least Common Multiple of Numerators i.e. LCM of 1,31,49 is 1519.

GCF of Denominators means GCF of 52,132,205 as per the given fractions.

GCF of 52,132,205 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,31,49

LCM of Fractions 1/52,31/132,49/205 is 1519

Given numbers has no common factors except 1. So, there LCM is their product i.e 1519

Least Common Multiple of 1,31,49 with GCF Formula

Least Common Multiple of 1,31,49 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 1,31,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,31,49) = 1

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

GCF(1,31,49) x common factors =1 x 1 = 1

LCM(1,31,49) = ( 1 × 31 × 49 ) / 1

LCM(1,31,49) = 1519 / 1

LCM(1,31,49) = 1519


Lets's calculate GCF of 52,132,205

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1519/1

Therefore the LCM of Fractions 1/52,31/132,49/205 is 1519

Greatest Common Factor of 52,132,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,132,205 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Greatest Common Factor

We found the factors 52,132,205 . The biggest common factor number is the GCF number.
So the greatest common factor 52,132,205 is 1.


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 1/52, 31/132, 49/205

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 1/52, 31/132, 49/205?

Answer: LCM of Numerators as per given numbers 1/52, 31/132, 49/205 is

LCM of Numerators i.e. for 1,31,49 is 1519

GCF of denominators i.e. for 52,132,205 is 1.

Thus, LCM of Fractions is 1519.Finally, LCM of Fractions for 1/52, 31/132, 49/205 is 1519.