Least Common Multiple of 59/78, 51/64, 59/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/78, 51/64, 59/240 quickly i.e. 3009/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/78, 51/64, 59/240 is 3009/2.

LCM(59/78, 51/64, 59/240) = 3009/2

LCM of 59/78, 51/64, 59/240

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 59/78,51/64,59/240

Given numbers are 59/78,51/64,59/240

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 59,51,59

Least Common Multiple of Numerators i.e. LCM of 59,51,59 is 3009.

GCF of Denominators means GCF of 78,64,240 as per the given fractions.

GCF of 78,64,240 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,51,59

LCM of Fractions 59/78,51/64,59/240 is 3009/2

59 59, 51, 59
1, 51, 1

∴ So the LCM of the given numbers is 59 x 1 x 51 x 1 = 3009

Least Common Multiple of 59,51,59 with GCF Formula

Least Common Multiple of 59,51,59 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 59,51,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,51,59) = 1

common factors(in case of two or more numbers have common factors) = 59

GCF(59,51,59) x common factors =1 x 59 = 59

LCM(59,51,59) = ( 59 × 51 × 59 ) / 59

LCM(59,51,59) = 177531 / 59

LCM(59,51,59) = 3009


Lets's calculate GCF of 78,64,240

2 78, 64, 240
39, 32, 120

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3009/2

Therefore the LCM of Fractions 59/78,51/64,59/240 is 3009/2

Greatest Common Factor of 78,64,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,64,240 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 78,64,240 . The biggest common factor number is the GCF number.
So the greatest common factor 78,64,240 is 2.


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 59/78, 51/64, 59/240

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 59/78, 51/64, 59/240?

Answer: LCM of Numerators as per given numbers 59/78, 51/64, 59/240 is

LCM of Numerators i.e. for 59,51,59 is 3009

GCF of denominators i.e. for 78,64,240 is 2.

Thus, LCM of Fractions is 3009/2.Finally, LCM of Fractions for 59/78, 51/64, 59/240 is 3009/2.