Least Common Multiple of 864/99, 542/1269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 864/99, 542/1269 quickly i.e. 26016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 864/99, 542/1269 is 26016.

LCM(864/99, 542/1269) = 26016

LCM of 864/99, 542/1269

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 864/99,542/1269

Given numbers are 864/99,542/1269

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 864,542

Least Common Multiple of Numerators i.e. LCM of 864,542 is 234144.

GCF of Denominators means GCF of 99,1269 as per the given fractions.

GCF of 99,1269 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 864,542

LCM of Fractions 864/99,542/1269 is 26016

2 864, 542
432, 271

∴ So the LCM of the given numbers is 2 x 432 x 271 = 234144

Least Common Multiple of 864,542 with GCF Formula

Least Common Multiple of 864,542 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 864,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,542) = 2

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

GCF(864,542) x common factors =2 x 1 = 2

LCM(864,542) = ( 864 × 542 ) / 2

LCM(864,542) = 468288 / 2

LCM(864,542) = 234144


Lets's calculate GCF of 99,1269

3 99, 1269
3 33, 423
11, 141

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 234144/9

Therefore the LCM of Fractions 864/99,542/1269 is 26016

Greatest Common Factor of 99,1269 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,1269 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 1269

List of positive integer factors of 1269 that divides 1269 without a remainder.

1,3,9,27,47,141,423,1269

Greatest Common Factor

We found the factors 99,1269 . The biggest common factor number is the GCF number.
So the greatest common factor 99,1269 is 9.


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 864/99, 542/1269

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 864/99, 542/1269?

Answer: LCM of Numerators as per given numbers 864/99, 542/1269 is

LCM of Numerators i.e. for 864,542 is 234144

GCF of denominators i.e. for 99,1269 is 9.

Thus, LCM of Fractions is 26016.Finally, LCM of Fractions for 864/99, 542/1269 is 26016.