Least Common Multiple of 60/740, 11/152, 789/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/740, 11/152, 789/759 quickly i.e. 173580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/740, 11/152, 789/759 is 173580.

LCM(60/740, 11/152, 789/759) = 173580

LCM of 60/740, 11/152, 789/759

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 60/740,11/152,789/759

Given numbers are 60/740,11/152,789/759

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 60,11,789

Least Common Multiple of Numerators i.e. LCM of 60,11,789 is 173580.

GCF of Denominators means GCF of 740,152,759 as per the given fractions.

GCF of 740,152,759 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,11,789

LCM of Fractions 60/740,11/152,789/759 is 173580

3 60, 11, 789
20, 11, 263

∴ So the LCM of the given numbers is 3 x 20 x 11 x 263 = 173580

Least Common Multiple of 60,11,789 with GCF Formula

Least Common Multiple of 60,11,789 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 60,11,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,11,789) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(60,11,789) x common factors =1 x 3 = 3

LCM(60,11,789) = ( 60 × 11 × 789 ) / 3

LCM(60,11,789) = 520740 / 3

LCM(60,11,789) = 173580


Lets's calculate GCF of 740,152,759

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 173580/1

Therefore the LCM of Fractions 60/740,11/152,789/759 is 173580

Greatest Common Factor of 740,152,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,152,759 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 740,152,759 . The biggest common factor number is the GCF number.
So the greatest common factor 740,152,759 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 60/740, 11/152, 789/759

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 60/740, 11/152, 789/759?

Answer: LCM of Numerators as per given numbers 60/740, 11/152, 789/759 is

LCM of Numerators i.e. for 60,11,789 is 173580

GCF of denominators i.e. for 740,152,759 is 1.

Thus, LCM of Fractions is 173580.Finally, LCM of Fractions for 60/740, 11/152, 789/759 is 173580.