Least Common Multiple of 402/45, 1378/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 402/45, 1378/336 quickly i.e. 92326 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 402/45, 1378/336 is 92326.

LCM(402/45, 1378/336) = 92326

LCM of 402/45, 1378/336

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 402/45,1378/336

Given numbers are 402/45,1378/336

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 402,1378

Least Common Multiple of Numerators i.e. LCM of 402,1378 is 276978.

GCF of Denominators means GCF of 45,336 as per the given fractions.

GCF of 45,336 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 402,1378

LCM of Fractions 402/45,1378/336 is 92326

2 402, 1378
201, 689

∴ So the LCM of the given numbers is 2 x 201 x 689 = 276978

Least Common Multiple of 402,1378 with GCF Formula

Least Common Multiple of 402,1378 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 402,1378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,1378) = 2

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

GCF(402,1378) x common factors =2 x 1 = 2

LCM(402,1378) = ( 402 × 1378 ) / 2

LCM(402,1378) = 553956 / 2

LCM(402,1378) = 276978


Lets's calculate GCF of 45,336

3 45, 336
15, 112

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 276978/3

Therefore the LCM of Fractions 402/45,1378/336 is 92326

Greatest Common Factor of 45,336 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,336 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors 45,336 . The biggest common factor number is the GCF number.
So the greatest common factor 45,336 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 402/45, 1378/336

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 402/45, 1378/336?

Answer: LCM of Numerators as per given numbers 402/45, 1378/336 is

LCM of Numerators i.e. for 402,1378 is 276978

GCF of denominators i.e. for 45,336 is 3.

Thus, LCM of Fractions is 92326.Finally, LCM of Fractions for 402/45, 1378/336 is 92326.