Least Common Multiple of 69/269, 55/246, 815/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/269, 55/246, 815/754 quickly i.e. 618585 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/269, 55/246, 815/754 is 618585.

LCM(69/269, 55/246, 815/754) = 618585

LCM of 69/269, 55/246, 815/754

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 69/269,55/246,815/754

Given numbers are 69/269,55/246,815/754

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 69,55,815

Least Common Multiple of Numerators i.e. LCM of 69,55,815 is 618585.

GCF of Denominators means GCF of 269,246,754 as per the given fractions.

GCF of 269,246,754 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,55,815

LCM of Fractions 69/269,55/246,815/754 is 618585

5 69, 55, 815
69, 11, 163

∴ So the LCM of the given numbers is 5 x 69 x 11 x 163 = 618585

Least Common Multiple of 69,55,815 with GCF Formula

Least Common Multiple of 69,55,815 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 69,55,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,55,815) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(69,55,815) x common factors =1 x 5 = 5

LCM(69,55,815) = ( 69 × 55 × 815 ) / 5

LCM(69,55,815) = 3092925 / 5

LCM(69,55,815) = 618585


Lets's calculate GCF of 269,246,754

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 618585/1

Therefore the LCM of Fractions 69/269,55/246,815/754 is 618585

Greatest Common Factor of 269,246,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,246,754 By Matching Biggest Common Factor Method

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 269,246,754 . The biggest common factor number is the GCF number.
So the greatest common factor 269,246,754 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 69/269, 55/246, 815/754

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 69/269, 55/246, 815/754?

Answer: LCM of Numerators as per given numbers 69/269, 55/246, 815/754 is

LCM of Numerators i.e. for 69,55,815 is 618585

GCF of denominators i.e. for 269,246,754 is 1.

Thus, LCM of Fractions is 618585.Finally, LCM of Fractions for 69/269, 55/246, 815/754 is 618585.