Least Common Multiple of 126/44, 508/5045

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 126/44, 508/5045 quickly i.e. 32004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 126/44, 508/5045 is 32004.

LCM(126/44, 508/5045) = 32004

LCM of 126/44, 508/5045

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 126/44,508/5045

Given numbers are 126/44,508/5045

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 126,508

Least Common Multiple of Numerators i.e. LCM of 126,508 is 32004.

GCF of Denominators means GCF of 44,5045 as per the given fractions.

GCF of 44,5045 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 126,508

LCM of Fractions 126/44,508/5045 is 32004

2 126, 508
63, 254

∴ So the LCM of the given numbers is 2 x 63 x 254 = 32004

Least Common Multiple of 126,508 with GCF Formula

Least Common Multiple of 126,508 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 126,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(126,508) = 2

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

GCF(126,508) x common factors =2 x 1 = 2

LCM(126,508) = ( 126 × 508 ) / 2

LCM(126,508) = 64008 / 2

LCM(126,508) = 32004


Lets's calculate GCF of 44,5045

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32004/1

Therefore the LCM of Fractions 126/44,508/5045 is 32004

Greatest Common Factor of 44,5045 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,5045 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 5045

List of positive integer factors of 5045 that divides 5045 without a remainder.

1,5,1009,5045

Greatest Common Factor

We found the factors 44,5045 . The biggest common factor number is the GCF number.
So the greatest common factor 44,5045 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 126/44, 508/5045

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 126/44, 508/5045?

Answer: LCM of Numerators as per given numbers 126/44, 508/5045 is

LCM of Numerators i.e. for 126,508 is 32004

GCF of denominators i.e. for 44,5045 is 1.

Thus, LCM of Fractions is 32004.Finally, LCM of Fractions for 126/44, 508/5045 is 32004.