Least Common Multiple of 378/940, 107/118, 693/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 378/940, 107/118, 693/204 quickly i.e. 222453 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 378/940, 107/118, 693/204 is 222453.

LCM(378/940, 107/118, 693/204) = 222453

LCM of 378/940, 107/118, 693/204

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 378/940,107/118,693/204

Given numbers are 378/940,107/118,693/204

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 378,107,693

Least Common Multiple of Numerators i.e. LCM of 378,107,693 is 444906.

GCF of Denominators means GCF of 940,118,204 as per the given fractions.

GCF of 940,118,204 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 378,107,693

LCM of Fractions 378/940,107/118,693/204 is 222453

3 378, 107, 693
3 126, 107, 231
7 42, 107, 77
6, 107, 11

∴ So the LCM of the given numbers is 3 x 3 x 7 x 6 x 107 x 11 = 444906

Least Common Multiple of 378,107,693 with GCF Formula

Least Common Multiple of 378,107,693 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 378,107,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,107,693) = 1

common factors(in case of two or more numbers have common factors) = 63

GCF(378,107,693) x common factors =1 x 63 = 63

LCM(378,107,693) = ( 378 × 107 × 693 ) / 63

LCM(378,107,693) = 28029078 / 63

LCM(378,107,693) = 444906


Lets's calculate GCF of 940,118,204

2 940, 118, 204
470, 59, 102

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 444906/2

Therefore the LCM of Fractions 378/940,107/118,693/204 is 222453

Greatest Common Factor of 940,118,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,118,204 By Matching Biggest Common Factor Method

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

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 940,118,204 . The biggest common factor number is the GCF number.
So the greatest common factor 940,118,204 is 2.


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 378/940, 107/118, 693/204

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 378/940, 107/118, 693/204?

Answer: LCM of Numerators as per given numbers 378/940, 107/118, 693/204 is

LCM of Numerators i.e. for 378,107,693 is 444906

GCF of denominators i.e. for 940,118,204 is 2.

Thus, LCM of Fractions is 222453.Finally, LCM of Fractions for 378/940, 107/118, 693/204 is 222453.