Least Common Multiple of 8129/54, 3492/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8129/54, 3492/764 quickly i.e. 14193234 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8129/54, 3492/764 is 14193234.

LCM(8129/54, 3492/764) = 14193234

LCM of 8129/54, 3492/764

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 8129/54,3492/764

Given numbers are 8129/54,3492/764

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 8129,3492

Least Common Multiple of Numerators i.e. LCM of 8129,3492 is 28386468.

GCF of Denominators means GCF of 54,764 as per the given fractions.

GCF of 54,764 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8129,3492

LCM of Fractions 8129/54,3492/764 is 14193234

Given numbers has no common factors except 1. So, there LCM is their product i.e 28386468

Least Common Multiple of 8129,3492 with GCF Formula

Least Common Multiple of 8129,3492 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 8129,3492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8129,3492) = 1

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

GCF(8129,3492) x common factors =1 x 1 = 1

LCM(8129,3492) = ( 8129 × 3492 ) / 1

LCM(8129,3492) = 28386468 / 1

LCM(8129,3492) = 28386468


Lets's calculate GCF of 54,764

2 54, 764
27, 382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28386468/2

Therefore the LCM of Fractions 8129/54,3492/764 is 14193234

Greatest Common Factor of 54,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,764 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 54,764 . The biggest common factor number is the GCF number.
So the greatest common factor 54,764 is 2.


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 8129/54, 3492/764

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 8129/54, 3492/764?

Answer: LCM of Numerators as per given numbers 8129/54, 3492/764 is

LCM of Numerators i.e. for 8129,3492 is 28386468

GCF of denominators i.e. for 54,764 is 2.

Thus, LCM of Fractions is 14193234.Finally, LCM of Fractions for 8129/54, 3492/764 is 14193234.