Least Common Multiple of 60/24, 32/574, 160/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/24, 32/574, 160/867 quickly i.e. 480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/24, 32/574, 160/867 is 480.

LCM(60/24, 32/574, 160/867) = 480

LCM of 60/24, 32/574, 160/867

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 60/24,32/574,160/867

Given numbers are 60/24,32/574,160/867

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 60,32,160

Least Common Multiple of Numerators i.e. LCM of 60,32,160 is 480.

GCF of Denominators means GCF of 24,574,867 as per the given fractions.

GCF of 24,574,867 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,32,160

LCM of Fractions 60/24,32/574,160/867 is 480

2 60, 32, 160
2 30, 16, 80
2 15, 8, 40
2 15, 4, 20
2 15, 2, 10
5 15, 1, 5
3, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 5 x 3 x 1 x 1 = 480

Least Common Multiple of 60,32,160 with GCF Formula

Least Common Multiple of 60,32,160 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 60,32,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,32,160) = 4

common factors(in case of two or more numbers have common factors) = 160

GCF(60,32,160) x common factors =4 x 160 = 640

LCM(60,32,160) = ( 60 × 32 × 160 ) / 640

LCM(60,32,160) = 307200 / 640

LCM(60,32,160) = 480


Lets's calculate GCF of 24,574,867

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 480/1

Therefore the LCM of Fractions 60/24,32/574,160/867 is 480

Greatest Common Factor of 24,574,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,574,867 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 24,574,867 . The biggest common factor number is the GCF number.
So the greatest common factor 24,574,867 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 60/24, 32/574, 160/867

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 60/24, 32/574, 160/867?

Answer: LCM of Numerators as per given numbers 60/24, 32/574, 160/867 is

LCM of Numerators i.e. for 60,32,160 is 480

GCF of denominators i.e. for 24,574,867 is 1.

Thus, LCM of Fractions is 480.Finally, LCM of Fractions for 60/24, 32/574, 160/867 is 480.