Least Common Multiple of 71/70, 81/95, 167/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/70, 81/95, 167/579 quickly i.e. 960417 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/70, 81/95, 167/579 is 960417.

LCM(71/70, 81/95, 167/579) = 960417

LCM of 71/70, 81/95, 167/579

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 71/70,81/95,167/579

Given numbers are 71/70,81/95,167/579

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 71,81,167

Least Common Multiple of Numerators i.e. LCM of 71,81,167 is 960417.

GCF of Denominators means GCF of 70,95,579 as per the given fractions.

GCF of 70,95,579 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,81,167

LCM of Fractions 71/70,81/95,167/579 is 960417

Given numbers has no common factors except 1. So, there LCM is their product i.e 960417

Least Common Multiple of 71,81,167 with GCF Formula

Least Common Multiple of 71,81,167 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 71,81,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,81,167) = 1

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

GCF(71,81,167) x common factors =1 x 1 = 1

LCM(71,81,167) = ( 71 × 81 × 167 ) / 1

LCM(71,81,167) = 960417 / 1

LCM(71,81,167) = 960417


Lets's calculate GCF of 70,95,579

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 960417/1

Therefore the LCM of Fractions 71/70,81/95,167/579 is 960417

Greatest Common Factor of 70,95,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,95,579 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 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 70,95,579 . The biggest common factor number is the GCF number.
So the greatest common factor 70,95,579 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 71/70, 81/95, 167/579

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 71/70, 81/95, 167/579?

Answer: LCM of Numerators as per given numbers 71/70, 81/95, 167/579 is

LCM of Numerators i.e. for 71,81,167 is 960417

GCF of denominators i.e. for 70,95,579 is 1.

Thus, LCM of Fractions is 960417.Finally, LCM of Fractions for 71/70, 81/95, 167/579 is 960417.