Least Common Multiple of 378/68, 298/63, 794/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 378/68, 298/63, 794/512 quickly i.e. 22359834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 378/68, 298/63, 794/512 is 22359834.

LCM(378/68, 298/63, 794/512) = 22359834

LCM of 378/68, 298/63, 794/512

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 378/68,298/63,794/512

Given numbers are 378/68,298/63,794/512

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 378,298,794

Least Common Multiple of Numerators i.e. LCM of 378,298,794 is 22359834.

GCF of Denominators means GCF of 68,63,512 as per the given fractions.

GCF of 68,63,512 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 378,298,794

LCM of Fractions 378/68,298/63,794/512 is 22359834

2 378, 298, 794
189, 149, 397

∴ So the LCM of the given numbers is 2 x 189 x 149 x 397 = 22359834

Least Common Multiple of 378,298,794 with GCF Formula

Least Common Multiple of 378,298,794 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 378,298,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,298,794) = 2

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

GCF(378,298,794) x common factors =2 x 2 = 4

LCM(378,298,794) = ( 378 × 298 × 794 ) / 4

LCM(378,298,794) = 89439336 / 4

LCM(378,298,794) = 22359834


Lets's calculate GCF of 68,63,512

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22359834/1

Therefore the LCM of Fractions 378/68,298/63,794/512 is 22359834

Greatest Common Factor of 68,63,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,63,512 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 68,63,512 . The biggest common factor number is the GCF number.
So the greatest common factor 68,63,512 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 378/68, 298/63, 794/512

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 378/68, 298/63, 794/512?

Answer: LCM of Numerators as per given numbers 378/68, 298/63, 794/512 is

LCM of Numerators i.e. for 378,298,794 is 22359834

GCF of denominators i.e. for 68,63,512 is 1.

Thus, LCM of Fractions is 22359834.Finally, LCM of Fractions for 378/68, 298/63, 794/512 is 22359834.