Least Common Multiple of 5129/126, 3524/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5129/126, 3524/230 quickly i.e. 9037298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5129/126, 3524/230 is 9037298.

LCM(5129/126, 3524/230) = 9037298

LCM of 5129/126, 3524/230

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 5129/126,3524/230

Given numbers are 5129/126,3524/230

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 5129,3524

Least Common Multiple of Numerators i.e. LCM of 5129,3524 is 18074596.

GCF of Denominators means GCF of 126,230 as per the given fractions.

GCF of 126,230 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5129,3524

LCM of Fractions 5129/126,3524/230 is 9037298

Given numbers has no common factors except 1. So, there LCM is their product i.e 18074596

Least Common Multiple of 5129,3524 with GCF Formula

Least Common Multiple of 5129,3524 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 5129,3524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5129,3524) = 1

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

GCF(5129,3524) x common factors =1 x 1 = 1

LCM(5129,3524) = ( 5129 × 3524 ) / 1

LCM(5129,3524) = 18074596 / 1

LCM(5129,3524) = 18074596


Lets's calculate GCF of 126,230

2 126, 230
63, 115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18074596/2

Therefore the LCM of Fractions 5129/126,3524/230 is 9037298

Greatest Common Factor of 126,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,230 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 126,230 . The biggest common factor number is the GCF number.
So the greatest common factor 126,230 is 2.


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Frequently Asked Questions on Fractional LCM of 5129/126, 3524/230

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 5129/126, 3524/230?

Answer: LCM of Numerators as per given numbers 5129/126, 3524/230 is

LCM of Numerators i.e. for 5129,3524 is 18074596

GCF of denominators i.e. for 126,230 is 2.

Thus, LCM of Fractions is 9037298.Finally, LCM of Fractions for 5129/126, 3524/230 is 9037298.