Least Common Multiple of 74/268, 77/269, 129/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/268, 77/269, 129/239 quickly i.e. 735042 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/268, 77/269, 129/239 is 735042.

LCM(74/268, 77/269, 129/239) = 735042

LCM of 74/268, 77/269, 129/239

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 74/268,77/269,129/239

Given numbers are 74/268,77/269,129/239

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 74,77,129

Least Common Multiple of Numerators i.e. LCM of 74,77,129 is 735042.

GCF of Denominators means GCF of 268,269,239 as per the given fractions.

GCF of 268,269,239 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,77,129

LCM of Fractions 74/268,77/269,129/239 is 735042

Given numbers has no common factors except 1. So, there LCM is their product i.e 735042

Least Common Multiple of 74,77,129 with GCF Formula

Least Common Multiple of 74,77,129 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 74,77,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,77,129) = 1

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

GCF(74,77,129) x common factors =1 x 1 = 1

LCM(74,77,129) = ( 74 × 77 × 129 ) / 1

LCM(74,77,129) = 735042 / 1

LCM(74,77,129) = 735042


Lets's calculate GCF of 268,269,239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 735042/1

Therefore the LCM of Fractions 74/268,77/269,129/239 is 735042

Greatest Common Factor of 268,269,239 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,269,239 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 269

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

1,269

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Greatest Common Factor

We found the factors 268,269,239 . The biggest common factor number is the GCF number.
So the greatest common factor 268,269,239 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 74/268, 77/269, 129/239

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 74/268, 77/269, 129/239?

Answer: LCM of Numerators as per given numbers 74/268, 77/269, 129/239 is

LCM of Numerators i.e. for 74,77,129 is 735042

GCF of denominators i.e. for 268,269,239 is 1.

Thus, LCM of Fractions is 735042.Finally, LCM of Fractions for 74/268, 77/269, 129/239 is 735042.