Least Common Multiple of 60/353, 741/904, 703/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/353, 741/904, 703/789 quickly i.e. 548340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/353, 741/904, 703/789 is 548340.

LCM(60/353, 741/904, 703/789) = 548340

LCM of 60/353, 741/904, 703/789

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 60/353,741/904,703/789

Given numbers are 60/353,741/904,703/789

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 60,741,703

Least Common Multiple of Numerators i.e. LCM of 60,741,703 is 548340.

GCF of Denominators means GCF of 353,904,789 as per the given fractions.

GCF of 353,904,789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,741,703

LCM of Fractions 60/353,741/904,703/789 is 548340

3 60, 741, 703
19 20, 247, 703
20, 13, 37

∴ So the LCM of the given numbers is 3 x 19 x 20 x 13 x 37 = 548340

Least Common Multiple of 60,741,703 with GCF Formula

Least Common Multiple of 60,741,703 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 60,741,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,741,703) = 1

common factors(in case of two or more numbers have common factors) = 57

GCF(60,741,703) x common factors =1 x 57 = 57

LCM(60,741,703) = ( 60 × 741 × 703 ) / 57

LCM(60,741,703) = 31255380 / 57

LCM(60,741,703) = 548340


Lets's calculate GCF of 353,904,789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 548340/1

Therefore the LCM of Fractions 60/353,741/904,703/789 is 548340

Greatest Common Factor of 353,904,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 353,904,789 By Matching Biggest Common Factor Method

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 353,904,789 . The biggest common factor number is the GCF number.
So the greatest common factor 353,904,789 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 60/353, 741/904, 703/789

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 60/353, 741/904, 703/789?

Answer: LCM of Numerators as per given numbers 60/353, 741/904, 703/789 is

LCM of Numerators i.e. for 60,741,703 is 548340

GCF of denominators i.e. for 353,904,789 is 1.

Thus, LCM of Fractions is 548340.Finally, LCM of Fractions for 60/353, 741/904, 703/789 is 548340.