Least Common Multiple of 378/93, 471/69, 635/303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 378/93, 471/69, 635/303 quickly i.e. 12561570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 378/93, 471/69, 635/303 is 12561570.

LCM(378/93, 471/69, 635/303) = 12561570

LCM of 378/93, 471/69, 635/303

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 378/93,471/69,635/303

Given numbers are 378/93,471/69,635/303

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 378,471,635

Least Common Multiple of Numerators i.e. LCM of 378,471,635 is 37684710.

GCF of Denominators means GCF of 93,69,303 as per the given fractions.

GCF of 93,69,303 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 378,471,635

LCM of Fractions 378/93,471/69,635/303 is 12561570

3 378, 471, 635
126, 157, 635

∴ So the LCM of the given numbers is 3 x 126 x 157 x 635 = 37684710

Least Common Multiple of 378,471,635 with GCF Formula

Least Common Multiple of 378,471,635 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 378,471,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,471,635) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(378,471,635) x common factors =1 x 3 = 3

LCM(378,471,635) = ( 378 × 471 × 635 ) / 3

LCM(378,471,635) = 113054130 / 3

LCM(378,471,635) = 37684710


Lets's calculate GCF of 93,69,303

3 93, 69, 303
31, 23, 101

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37684710/3

Therefore the LCM of Fractions 378/93,471/69,635/303 is 12561570

Greatest Common Factor of 93,69,303 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,69,303 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Greatest Common Factor

We found the factors 93,69,303 . The biggest common factor number is the GCF number.
So the greatest common factor 93,69,303 is 3.


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 378/93, 471/69, 635/303

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 378/93, 471/69, 635/303?

Answer: LCM of Numerators as per given numbers 378/93, 471/69, 635/303 is

LCM of Numerators i.e. for 378,471,635 is 37684710

GCF of denominators i.e. for 93,69,303 is 3.

Thus, LCM of Fractions is 12561570.Finally, LCM of Fractions for 378/93, 471/69, 635/303 is 12561570.