Least Common Multiple of 60/868, 71/749, 430/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/868, 71/749, 430/160 quickly i.e. 183180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/868, 71/749, 430/160 is 183180.

LCM(60/868, 71/749, 430/160) = 183180

LCM of 60/868, 71/749, 430/160

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 60/868,71/749,430/160

Given numbers are 60/868,71/749,430/160

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 60,71,430

Least Common Multiple of Numerators i.e. LCM of 60,71,430 is 183180.

GCF of Denominators means GCF of 868,749,160 as per the given fractions.

GCF of 868,749,160 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,71,430

LCM of Fractions 60/868,71/749,430/160 is 183180

2 60, 71, 430
5 30, 71, 215
6, 71, 43

∴ So the LCM of the given numbers is 2 x 5 x 6 x 71 x 43 = 183180

Least Common Multiple of 60,71,430 with GCF Formula

Least Common Multiple of 60,71,430 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 60,71,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,71,430) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(60,71,430) x common factors =1 x 10 = 10

LCM(60,71,430) = ( 60 × 71 × 430 ) / 10

LCM(60,71,430) = 1831800 / 10

LCM(60,71,430) = 183180


Lets's calculate GCF of 868,749,160

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183180/1

Therefore the LCM of Fractions 60/868,71/749,430/160 is 183180

Greatest Common Factor of 868,749,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,749,160 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 868,749,160 . The biggest common factor number is the GCF number.
So the greatest common factor 868,749,160 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 60/868, 71/749, 430/160

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 60/868, 71/749, 430/160?

Answer: LCM of Numerators as per given numbers 60/868, 71/749, 430/160 is

LCM of Numerators i.e. for 60,71,430 is 183180

GCF of denominators i.e. for 868,749,160 is 1.

Thus, LCM of Fractions is 183180.Finally, LCM of Fractions for 60/868, 71/749, 430/160 is 183180.