Least Common Multiple of 478/42, 554/3107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 478/42, 554/3107 quickly i.e. 132406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 478/42, 554/3107 is 132406.

LCM(478/42, 554/3107) = 132406

LCM of 478/42, 554/3107

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 478/42,554/3107

Given numbers are 478/42,554/3107

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 478,554

Least Common Multiple of Numerators i.e. LCM of 478,554 is 132406.

GCF of Denominators means GCF of 42,3107 as per the given fractions.

GCF of 42,3107 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 478,554

LCM of Fractions 478/42,554/3107 is 132406

2 478, 554
239, 277

∴ So the LCM of the given numbers is 2 x 239 x 277 = 132406

Least Common Multiple of 478,554 with GCF Formula

Least Common Multiple of 478,554 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 478,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,554) = 2

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

GCF(478,554) x common factors =2 x 1 = 2

LCM(478,554) = ( 478 × 554 ) / 2

LCM(478,554) = 264812 / 2

LCM(478,554) = 132406


Lets's calculate GCF of 42,3107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132406/1

Therefore the LCM of Fractions 478/42,554/3107 is 132406

Greatest Common Factor of 42,3107 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,3107 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 3107

List of positive integer factors of 3107 that divides 3107 without a remainder.

1,13,239,3107

Greatest Common Factor

We found the factors 42,3107 . The biggest common factor number is the GCF number.
So the greatest common factor 42,3107 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 478/42, 554/3107

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 478/42, 554/3107?

Answer: LCM of Numerators as per given numbers 478/42, 554/3107 is

LCM of Numerators i.e. for 478,554 is 132406

GCF of denominators i.e. for 42,3107 is 1.

Thus, LCM of Fractions is 132406.Finally, LCM of Fractions for 478/42, 554/3107 is 132406.