Least Common Multiple of 378/303, 7452/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 378/303, 7452/456 quickly i.e. 17388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 378/303, 7452/456 is 17388.

LCM(378/303, 7452/456) = 17388

LCM of 378/303, 7452/456

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 378/303,7452/456

Given numbers are 378/303,7452/456

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 378,7452

Least Common Multiple of Numerators i.e. LCM of 378,7452 is 52164.

GCF of Denominators means GCF of 303,456 as per the given fractions.

GCF of 303,456 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 378,7452

LCM of Fractions 378/303,7452/456 is 17388

2 378, 7452
3 189, 3726
3 63, 1242
3 21, 414
7, 138

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 7 x 138 = 52164

Least Common Multiple of 378,7452 with GCF Formula

Least Common Multiple of 378,7452 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 378,7452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,7452) = 54

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

GCF(378,7452) x common factors =54 x 1 = 54

LCM(378,7452) = ( 378 × 7452 ) / 54

LCM(378,7452) = 2816856 / 54

LCM(378,7452) = 52164


Lets's calculate GCF of 303,456

3 303, 456
101, 152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52164/3

Therefore the LCM of Fractions 378/303,7452/456 is 17388

Greatest Common Factor of 303,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,456 By Matching Biggest Common Factor Method

Factors of 303

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

1,3,101,303

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 303,456 . The biggest common factor number is the GCF number.
So the greatest common factor 303,456 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 378/303, 7452/456

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 378/303, 7452/456?

Answer: LCM of Numerators as per given numbers 378/303, 7452/456 is

LCM of Numerators i.e. for 378,7452 is 52164

GCF of denominators i.e. for 303,456 is 3.

Thus, LCM of Fractions is 17388.Finally, LCM of Fractions for 378/303, 7452/456 is 17388.