Least Common Multiple of 269/84, 759/9744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 269/84, 759/9744 quickly i.e. 204171/84 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 269/84, 759/9744 is 204171/84.

LCM(269/84, 759/9744) = 204171/84

LCM of 269/84, 759/9744

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 269/84,759/9744

Given numbers are 269/84,759/9744

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 269,759

Least Common Multiple of Numerators i.e. LCM of 269,759 is 204171.

GCF of Denominators means GCF of 84,9744 as per the given fractions.

GCF of 84,9744 is 84 as it is the largest common factor for these numbers.

Lets's calculate LCM of 269,759

LCM of Fractions 269/84,759/9744 is 204171/84

Given numbers has no common factors except 1. So, there LCM is their product i.e 204171

Least Common Multiple of 269,759 with GCF Formula

Least Common Multiple of 269,759 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 269,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(269,759) = 1

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

GCF(269,759) x common factors =1 x 1 = 1

LCM(269,759) = ( 269 × 759 ) / 1

LCM(269,759) = 204171 / 1

LCM(269,759) = 204171


Lets's calculate GCF of 84,9744

2 84, 9744
2 42, 4872
3 21, 2436
7 7, 812
1, 116

∴ So the GCF of the given numbers is 2 x 2 x 3 x 7 = 84

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204171/84

Therefore the LCM of Fractions 269/84,759/9744 is 204171/84

Greatest Common Factor of 84,9744 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,9744 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 9744

List of positive integer factors of 9744 that divides 9744 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,29,42,48,56,58,84,87,112,116,168,174,203,232,336,348,406,464,609,696,812,1218,1392,1624,2436,3248,4872,9744

Greatest Common Factor

We found the factors 84,9744 . The biggest common factor number is the GCF number.
So the greatest common factor 84,9744 is 84.


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 269/84, 759/9744

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 269/84, 759/9744?

Answer: LCM of Numerators as per given numbers 269/84, 759/9744 is

LCM of Numerators i.e. for 269,759 is 204171

GCF of denominators i.e. for 84,9744 is 84.

Thus, LCM of Fractions is 204171/84.Finally, LCM of Fractions for 269/84, 759/9744 is 204171/84.