Least Common Multiple of 83/137, 13/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 83/137, 13/185 quickly i.e. 1079 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/137, 13/185 is 1079.

LCM(83/137, 13/185) = 1079

LCM of 83/137, 13/185

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 83/137,13/185

Given numbers are 83/137,13/185

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 83,13

Least Common Multiple of Numerators i.e. LCM of 83,13 is 1079.

GCF of Denominators means GCF of 137,185 as per the given fractions.

GCF of 137,185 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,13

LCM of Fractions 83/137,13/185 is 1079

Given numbers has no common factors except 1. So, there LCM is their product i.e 1079

Least Common Multiple of 83,13 with GCF Formula

Least Common Multiple of 83,13 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 83,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,13) = 1

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

GCF(83,13) x common factors =1 x 1 = 1

LCM(83,13) = ( 83 × 13 ) / 1

LCM(83,13) = 1079 / 1

LCM(83,13) = 1079


Lets's calculate GCF of 137,185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1079/1

Therefore the LCM of Fractions 83/137,13/185 is 1079

Greatest Common Factor of 137,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 137,185 By Matching Biggest Common Factor Method

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 137,185 . The biggest common factor number is the GCF number.
So the greatest common factor 137,185 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 83/137, 13/185

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 83/137, 13/185?

Answer: LCM of Numerators as per given numbers 83/137, 13/185 is

LCM of Numerators i.e. for 83,13 is 1079

GCF of denominators i.e. for 137,185 is 1.

Thus, LCM of Fractions is 1079.Finally, LCM of Fractions for 83/137, 13/185 is 1079.