Least Common Multiple of 788/266, 965/338, 982/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 788/266, 965/338, 982/123 quickly i.e. 373366220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 788/266, 965/338, 982/123 is 373366220.

LCM(788/266, 965/338, 982/123) = 373366220

LCM of 788/266, 965/338, 982/123

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 788/266,965/338,982/123

Given numbers are 788/266,965/338,982/123

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 788,965,982

Least Common Multiple of Numerators i.e. LCM of 788,965,982 is 373366220.

GCF of Denominators means GCF of 266,338,123 as per the given fractions.

GCF of 266,338,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 788,965,982

LCM of Fractions 788/266,965/338,982/123 is 373366220

2 788, 965, 982
394, 965, 491

∴ So the LCM of the given numbers is 2 x 394 x 965 x 491 = 373366220

Least Common Multiple of 788,965,982 with GCF Formula

Least Common Multiple of 788,965,982 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 788,965,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,965,982) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(788,965,982) x common factors =1 x 2 = 2

LCM(788,965,982) = ( 788 × 965 × 982 ) / 2

LCM(788,965,982) = 746732440 / 2

LCM(788,965,982) = 373366220


Lets's calculate GCF of 266,338,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 373366220/1

Therefore the LCM of Fractions 788/266,965/338,982/123 is 373366220

Greatest Common Factor of 266,338,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,338,123 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

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 266,338,123 . The biggest common factor number is the GCF number.
So the greatest common factor 266,338,123 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 788/266, 965/338, 982/123

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 788/266, 965/338, 982/123?

Answer: LCM of Numerators as per given numbers 788/266, 965/338, 982/123 is

LCM of Numerators i.e. for 788,965,982 is 373366220

GCF of denominators i.e. for 266,338,123 is 1.

Thus, LCM of Fractions is 373366220.Finally, LCM of Fractions for 788/266, 965/338, 982/123 is 373366220.