Least Common Multiple of 58/321, 721/665, 975/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/321, 721/665, 975/940 quickly i.e. 40772550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/321, 721/665, 975/940 is 40772550.

LCM(58/321, 721/665, 975/940) = 40772550

LCM of 58/321, 721/665, 975/940

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 58/321,721/665,975/940

Given numbers are 58/321,721/665,975/940

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 58,721,975

Least Common Multiple of Numerators i.e. LCM of 58,721,975 is 40772550.

GCF of Denominators means GCF of 321,665,940 as per the given fractions.

GCF of 321,665,940 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,721,975

LCM of Fractions 58/321,721/665,975/940 is 40772550

Given numbers has no common factors except 1. So, there LCM is their product i.e 40772550

Least Common Multiple of 58,721,975 with GCF Formula

Least Common Multiple of 58,721,975 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 58,721,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,721,975) = 1

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

GCF(58,721,975) x common factors =1 x 1 = 1

LCM(58,721,975) = ( 58 × 721 × 975 ) / 1

LCM(58,721,975) = 40772550 / 1

LCM(58,721,975) = 40772550


Lets's calculate GCF of 321,665,940

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40772550/1

Therefore the LCM of Fractions 58/321,721/665,975/940 is 40772550

Greatest Common Factor of 321,665,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,665,940 By Matching Biggest Common Factor Method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 321,665,940 . The biggest common factor number is the GCF number.
So the greatest common factor 321,665,940 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 58/321, 721/665, 975/940

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 58/321, 721/665, 975/940?

Answer: LCM of Numerators as per given numbers 58/321, 721/665, 975/940 is

LCM of Numerators i.e. for 58,721,975 is 40772550

GCF of denominators i.e. for 321,665,940 is 1.

Thus, LCM of Fractions is 40772550.Finally, LCM of Fractions for 58/321, 721/665, 975/940 is 40772550.