Least Common Multiple of 478/642, 7995/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 478/642, 7995/147 quickly i.e. 1273870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 478/642, 7995/147 is 1273870.

LCM(478/642, 7995/147) = 1273870

LCM of 478/642, 7995/147

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 478/642,7995/147

Given numbers are 478/642,7995/147

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 478,7995

Least Common Multiple of Numerators i.e. LCM of 478,7995 is 3821610.

GCF of Denominators means GCF of 642,147 as per the given fractions.

GCF of 642,147 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 478,7995

LCM of Fractions 478/642,7995/147 is 1273870

Given numbers has no common factors except 1. So, there LCM is their product i.e 3821610

Least Common Multiple of 478,7995 with GCF Formula

Least Common Multiple of 478,7995 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 478,7995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,7995) = 1

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

GCF(478,7995) x common factors =1 x 1 = 1

LCM(478,7995) = ( 478 × 7995 ) / 1

LCM(478,7995) = 3821610 / 1

LCM(478,7995) = 3821610


Lets's calculate GCF of 642,147

3 642, 147
214, 49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3821610/3

Therefore the LCM of Fractions 478/642,7995/147 is 1273870

Greatest Common Factor of 642,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,147 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Greatest Common Factor

We found the factors 642,147 . The biggest common factor number is the GCF number.
So the greatest common factor 642,147 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 478/642, 7995/147

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 478/642, 7995/147?

Answer: LCM of Numerators as per given numbers 478/642, 7995/147 is

LCM of Numerators i.e. for 478,7995 is 3821610

GCF of denominators i.e. for 642,147 is 3.

Thus, LCM of Fractions is 1273870.Finally, LCM of Fractions for 478/642, 7995/147 is 1273870.