Least Common Multiple of 8500/70, 1731/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8500/70, 1731/137 quickly i.e. 14713500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8500/70, 1731/137 is 14713500.

LCM(8500/70, 1731/137) = 14713500

LCM of 8500/70, 1731/137

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 8500/70,1731/137

Given numbers are 8500/70,1731/137

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 8500,1731

Least Common Multiple of Numerators i.e. LCM of 8500,1731 is 14713500.

GCF of Denominators means GCF of 70,137 as per the given fractions.

GCF of 70,137 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8500,1731

LCM of Fractions 8500/70,1731/137 is 14713500

Given numbers has no common factors except 1. So, there LCM is their product i.e 14713500

Least Common Multiple of 8500,1731 with GCF Formula

Least Common Multiple of 8500,1731 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 8500,1731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8500,1731) = 1

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

GCF(8500,1731) x common factors =1 x 1 = 1

LCM(8500,1731) = ( 8500 × 1731 ) / 1

LCM(8500,1731) = 14713500 / 1

LCM(8500,1731) = 14713500


Lets's calculate GCF of 70,137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14713500/1

Therefore the LCM of Fractions 8500/70,1731/137 is 14713500

Greatest Common Factor of 70,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,137 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 137

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

1,137

Greatest Common Factor

We found the factors 70,137 . The biggest common factor number is the GCF number.
So the greatest common factor 70,137 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 8500/70, 1731/137

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 8500/70, 1731/137?

Answer: LCM of Numerators as per given numbers 8500/70, 1731/137 is

LCM of Numerators i.e. for 8500,1731 is 14713500

GCF of denominators i.e. for 70,137 is 1.

Thus, LCM of Fractions is 14713500.Finally, LCM of Fractions for 8500/70, 1731/137 is 14713500.