Least Common Multiple of 60/782, 281/738, 331/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/782, 281/738, 331/123 quickly i.e. 5580660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/782, 281/738, 331/123 is 5580660.

LCM(60/782, 281/738, 331/123) = 5580660

LCM of 60/782, 281/738, 331/123

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 60/782,281/738,331/123

Given numbers are 60/782,281/738,331/123

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 60,281,331

Least Common Multiple of Numerators i.e. LCM of 60,281,331 is 5580660.

GCF of Denominators means GCF of 782,738,123 as per the given fractions.

GCF of 782,738,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,281,331

LCM of Fractions 60/782,281/738,331/123 is 5580660

Given numbers has no common factors except 1. So, there LCM is their product i.e 5580660

Least Common Multiple of 60,281,331 with GCF Formula

Least Common Multiple of 60,281,331 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 60,281,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,281,331) = 1

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

GCF(60,281,331) x common factors =1 x 1 = 1

LCM(60,281,331) = ( 60 × 281 × 331 ) / 1

LCM(60,281,331) = 5580660 / 1

LCM(60,281,331) = 5580660


Lets's calculate GCF of 782,738,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5580660/1

Therefore the LCM of Fractions 60/782,281/738,331/123 is 5580660

Greatest Common Factor of 782,738,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,738,123 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 782,738,123 . The biggest common factor number is the GCF number.
So the greatest common factor 782,738,123 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 60/782, 281/738, 331/123

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 60/782, 281/738, 331/123?

Answer: LCM of Numerators as per given numbers 60/782, 281/738, 331/123 is

LCM of Numerators i.e. for 60,281,331 is 5580660

GCF of denominators i.e. for 782,738,123 is 1.

Thus, LCM of Fractions is 5580660.Finally, LCM of Fractions for 60/782, 281/738, 331/123 is 5580660.