Least Common Multiple of 634/478, 6384/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 634/478, 6384/350 quickly i.e. 1011864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 634/478, 6384/350 is 1011864.

LCM(634/478, 6384/350) = 1011864

LCM of 634/478, 6384/350

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 634/478,6384/350

Given numbers are 634/478,6384/350

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 634,6384

Least Common Multiple of Numerators i.e. LCM of 634,6384 is 2023728.

GCF of Denominators means GCF of 478,350 as per the given fractions.

GCF of 478,350 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 634,6384

LCM of Fractions 634/478,6384/350 is 1011864

2 634, 6384
317, 3192

∴ So the LCM of the given numbers is 2 x 317 x 3192 = 2023728

Least Common Multiple of 634,6384 with GCF Formula

Least Common Multiple of 634,6384 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 634,6384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,6384) = 2

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

GCF(634,6384) x common factors =2 x 1 = 2

LCM(634,6384) = ( 634 × 6384 ) / 2

LCM(634,6384) = 4047456 / 2

LCM(634,6384) = 2023728


Lets's calculate GCF of 478,350

2 478, 350
239, 175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2023728/2

Therefore the LCM of Fractions 634/478,6384/350 is 1011864

Greatest Common Factor of 478,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,350 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 478,350 . The biggest common factor number is the GCF number.
So the greatest common factor 478,350 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 634/478, 6384/350

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 634/478, 6384/350?

Answer: LCM of Numerators as per given numbers 634/478, 6384/350 is

LCM of Numerators i.e. for 634,6384 is 2023728

GCF of denominators i.e. for 478,350 is 2.

Thus, LCM of Fractions is 1011864.Finally, LCM of Fractions for 634/478, 6384/350 is 1011864.