Least Common Multiple of 739/52, 789/60, 415/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 739/52, 789/60, 415/351 quickly i.e. 241974465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 739/52, 789/60, 415/351 is 241974465.

LCM(739/52, 789/60, 415/351) = 241974465

LCM of 739/52, 789/60, 415/351

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 739/52,789/60,415/351

Given numbers are 739/52,789/60,415/351

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 739,789,415

Least Common Multiple of Numerators i.e. LCM of 739,789,415 is 241974465.

GCF of Denominators means GCF of 52,60,351 as per the given fractions.

GCF of 52,60,351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 739,789,415

LCM of Fractions 739/52,789/60,415/351 is 241974465

Given numbers has no common factors except 1. So, there LCM is their product i.e 241974465

Least Common Multiple of 739,789,415 with GCF Formula

Least Common Multiple of 739,789,415 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 739,789,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(739,789,415) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(739,789,415) x common factors =1 x 1 = 1

LCM(739,789,415) = ( 739 × 789 × 415 ) / 1

LCM(739,789,415) = 241974465 / 1

LCM(739,789,415) = 241974465


Lets's calculate GCF of 52,60,351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 241974465/1

Therefore the LCM of Fractions 739/52,789/60,415/351 is 241974465

Greatest Common Factor of 52,60,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,60,351 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 52,60,351 . The biggest common factor number is the GCF number.
So the greatest common factor 52,60,351 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 739/52, 789/60, 415/351

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 739/52, 789/60, 415/351?

Answer: LCM of Numerators as per given numbers 739/52, 789/60, 415/351 is

LCM of Numerators i.e. for 739,789,415 is 241974465

GCF of denominators i.e. for 52,60,351 is 1.

Thus, LCM of Fractions is 241974465.Finally, LCM of Fractions for 739/52, 789/60, 415/351 is 241974465.