Least Common Multiple of 6129/428, 9532/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6129/428, 9532/505 quickly i.e. 58421628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6129/428, 9532/505 is 58421628.

LCM(6129/428, 9532/505) = 58421628

LCM of 6129/428, 9532/505

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 6129/428,9532/505

Given numbers are 6129/428,9532/505

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 6129,9532

Least Common Multiple of Numerators i.e. LCM of 6129,9532 is 58421628.

GCF of Denominators means GCF of 428,505 as per the given fractions.

GCF of 428,505 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6129,9532

LCM of Fractions 6129/428,9532/505 is 58421628

Given numbers has no common factors except 1. So, there LCM is their product i.e 58421628

Least Common Multiple of 6129,9532 with GCF Formula

Least Common Multiple of 6129,9532 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 6129,9532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6129,9532) = 1

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

GCF(6129,9532) x common factors =1 x 1 = 1

LCM(6129,9532) = ( 6129 × 9532 ) / 1

LCM(6129,9532) = 58421628 / 1

LCM(6129,9532) = 58421628


Lets's calculate GCF of 428,505

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58421628/1

Therefore the LCM of Fractions 6129/428,9532/505 is 58421628

Greatest Common Factor of 428,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,505 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 428,505 . The biggest common factor number is the GCF number.
So the greatest common factor 428,505 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 6129/428, 9532/505

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 6129/428, 9532/505?

Answer: LCM of Numerators as per given numbers 6129/428, 9532/505 is

LCM of Numerators i.e. for 6129,9532 is 58421628

GCF of denominators i.e. for 428,505 is 1.

Thus, LCM of Fractions is 58421628.Finally, LCM of Fractions for 6129/428, 9532/505 is 58421628.