Least Common Multiple of 69/294, 8134/4053

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/294, 8134/4053 quickly i.e. 26726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/294, 8134/4053 is 26726.

LCM(69/294, 8134/4053) = 26726

LCM of 69/294, 8134/4053

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 69/294,8134/4053

Given numbers are 69/294,8134/4053

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 69,8134

Least Common Multiple of Numerators i.e. LCM of 69,8134 is 561246.

GCF of Denominators means GCF of 294,4053 as per the given fractions.

GCF of 294,4053 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,8134

LCM of Fractions 69/294,8134/4053 is 26726

Given numbers has no common factors except 1. So, there LCM is their product i.e 561246

Least Common Multiple of 69,8134 with GCF Formula

Least Common Multiple of 69,8134 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 69,8134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,8134) = 1

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

GCF(69,8134) x common factors =1 x 1 = 1

LCM(69,8134) = ( 69 × 8134 ) / 1

LCM(69,8134) = 561246 / 1

LCM(69,8134) = 561246


Lets's calculate GCF of 294,4053

3 294, 4053
7 98, 1351
14, 193

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 561246/21

Therefore the LCM of Fractions 69/294,8134/4053 is 26726

Greatest Common Factor of 294,4053 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,4053 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 4053

List of positive integer factors of 4053 that divides 4053 without a remainder.

1,3,7,21,193,579,1351,4053

Greatest Common Factor

We found the factors 294,4053 . The biggest common factor number is the GCF number.
So the greatest common factor 294,4053 is 21.


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 69/294, 8134/4053

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 69/294, 8134/4053?

Answer: LCM of Numerators as per given numbers 69/294, 8134/4053 is

LCM of Numerators i.e. for 69,8134 is 561246

GCF of denominators i.e. for 294,4053 is 21.

Thus, LCM of Fractions is 26726.Finally, LCM of Fractions for 69/294, 8134/4053 is 26726.