Least Common Multiple of 8129/428, 1907/6504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8129/428, 1907/6504 quickly i.e. 15502003/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8129/428, 1907/6504 is 15502003/4.

LCM(8129/428, 1907/6504) = 15502003/4

LCM of 8129/428, 1907/6504

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 8129/428,1907/6504

Given numbers are 8129/428,1907/6504

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 8129,1907

Least Common Multiple of Numerators i.e. LCM of 8129,1907 is 15502003.

GCF of Denominators means GCF of 428,6504 as per the given fractions.

GCF of 428,6504 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8129,1907

LCM of Fractions 8129/428,1907/6504 is 15502003/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 15502003

Least Common Multiple of 8129,1907 with GCF Formula

Least Common Multiple of 8129,1907 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 8129,1907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8129,1907) = 1

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

GCF(8129,1907) x common factors =1 x 1 = 1

LCM(8129,1907) = ( 8129 × 1907 ) / 1

LCM(8129,1907) = 15502003 / 1

LCM(8129,1907) = 15502003


Lets's calculate GCF of 428,6504

2 428, 6504
2 214, 3252
107, 1626

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15502003/4

Therefore the LCM of Fractions 8129/428,1907/6504 is 15502003/4

Greatest Common Factor of 428,6504 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,6504 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 6504

List of positive integer factors of 6504 that divides 6504 without a remainder.

1,2,3,4,6,8,12,24,271,542,813,1084,1626,2168,3252,6504

Greatest Common Factor

We found the factors 428,6504 . The biggest common factor number is the GCF number.
So the greatest common factor 428,6504 is 4.


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 8129/428, 1907/6504

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 8129/428, 1907/6504?

Answer: LCM of Numerators as per given numbers 8129/428, 1907/6504 is

LCM of Numerators i.e. for 8129,1907 is 15502003

GCF of denominators i.e. for 428,6504 is 4.

Thus, LCM of Fractions is 15502003/4.Finally, LCM of Fractions for 8129/428, 1907/6504 is 15502003/4.