Least Common Multiple of 47/715, 74/651, 167/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/715, 74/651, 167/940 quickly i.e. 580826 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/715, 74/651, 167/940 is 580826.

LCM(47/715, 74/651, 167/940) = 580826

LCM of 47/715, 74/651, 167/940

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 47/715,74/651,167/940

Given numbers are 47/715,74/651,167/940

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 47,74,167

Least Common Multiple of Numerators i.e. LCM of 47,74,167 is 580826.

GCF of Denominators means GCF of 715,651,940 as per the given fractions.

GCF of 715,651,940 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,74,167

LCM of Fractions 47/715,74/651,167/940 is 580826

Given numbers has no common factors except 1. So, there LCM is their product i.e 580826

Least Common Multiple of 47,74,167 with GCF Formula

Least Common Multiple of 47,74,167 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 47,74,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,74,167) = 1

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

GCF(47,74,167) x common factors =1 x 1 = 1

LCM(47,74,167) = ( 47 × 74 × 167 ) / 1

LCM(47,74,167) = 580826 / 1

LCM(47,74,167) = 580826


Lets's calculate GCF of 715,651,940

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 580826/1

Therefore the LCM of Fractions 47/715,74/651,167/940 is 580826

Greatest Common Factor of 715,651,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,651,940 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 715,651,940 . The biggest common factor number is the GCF number.
So the greatest common factor 715,651,940 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 47/715, 74/651, 167/940

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 47/715, 74/651, 167/940?

Answer: LCM of Numerators as per given numbers 47/715, 74/651, 167/940 is

LCM of Numerators i.e. for 47,74,167 is 580826

GCF of denominators i.e. for 715,651,940 is 1.

Thus, LCM of Fractions is 580826.Finally, LCM of Fractions for 47/715, 74/651, 167/940 is 580826.