Least Common Multiple of 60/59, 64/24, 15/51, 40/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/59, 64/24, 15/51, 40/326 quickly i.e. 960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/59, 64/24, 15/51, 40/326 is 960.

LCM(60/59, 64/24, 15/51, 40/326) = 960

LCM of 60/59, 64/24, 15/51, 40/326

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 60/59,64/24,15/51,40/326

Given numbers are 60/59,64/24,15/51,40/326

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 60,64,15,40

Least Common Multiple of Numerators i.e. LCM of 60,64,15,40 is 960.

GCF of Denominators means GCF of 59,24,51,326 as per the given fractions.

GCF of 59,24,51,326 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,64,15,40

LCM of Fractions 60/59,64/24,15/51,40/326 is 960

2 60, 64, 15, 40
2 30, 32, 15, 20
2 15, 16, 15, 10
3 15, 8, 15, 5
5 5, 8, 5, 5
1, 8, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 8 x 1 x 1 = 960

Least Common Multiple of 60,64,15,40 with GCF Formula

Least Common Multiple of 60,64,15,40 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 60,64,15,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,64,15,40) = 1

common factors(in case of two or more numbers have common factors) = 2400

GCF(60,64,15,40) x common factors =1 x 2400 = 2400

LCM(60,64,15,40) = ( 60 × 64 × 15 × 40 ) / 2400

LCM(60,64,15,40) = 2304000 / 2400

LCM(60,64,15,40) = 960


Lets's calculate GCF of 59,24,51,326

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 960/1

Therefore the LCM of Fractions 60/59,64/24,15/51,40/326 is 960

Greatest Common Factor of 59,24,51,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,24,51,326 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

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 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 59,24,51,326 . The biggest common factor number is the GCF number.
So the greatest common factor 59,24,51,326 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 60/59, 64/24, 15/51, 40/326

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 60/59, 64/24, 15/51, 40/326?

Answer: LCM of Numerators as per given numbers 60/59, 64/24, 15/51, 40/326 is

LCM of Numerators i.e. for 60,64,15,40 is 960

GCF of denominators i.e. for 59,24,51,326 is 1.

Thus, LCM of Fractions is 960.Finally, LCM of Fractions for 60/59, 64/24, 15/51, 40/326 is 960.