Least Common Multiple of 71/717, 969/114, 232/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/717, 969/114, 232/339 quickly i.e. 5320456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/717, 969/114, 232/339 is 5320456.

LCM(71/717, 969/114, 232/339) = 5320456

LCM of 71/717, 969/114, 232/339

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 71/717,969/114,232/339

Given numbers are 71/717,969/114,232/339

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 71,969,232

Least Common Multiple of Numerators i.e. LCM of 71,969,232 is 15961368.

GCF of Denominators means GCF of 717,114,339 as per the given fractions.

GCF of 717,114,339 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,969,232

LCM of Fractions 71/717,969/114,232/339 is 5320456

Given numbers has no common factors except 1. So, there LCM is their product i.e 15961368

Least Common Multiple of 71,969,232 with GCF Formula

Least Common Multiple of 71,969,232 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 71,969,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,969,232) = 1

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

GCF(71,969,232) x common factors =1 x 1 = 1

LCM(71,969,232) = ( 71 × 969 × 232 ) / 1

LCM(71,969,232) = 15961368 / 1

LCM(71,969,232) = 15961368


Lets's calculate GCF of 717,114,339

3 717, 114, 339
239, 38, 113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15961368/3

Therefore the LCM of Fractions 71/717,969/114,232/339 is 5320456

Greatest Common Factor of 717,114,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 717,114,339 By Matching Biggest Common Factor Method

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 717,114,339 . The biggest common factor number is the GCF number.
So the greatest common factor 717,114,339 is 3.


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 71/717, 969/114, 232/339

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 71/717, 969/114, 232/339?

Answer: LCM of Numerators as per given numbers 71/717, 969/114, 232/339 is

LCM of Numerators i.e. for 71,969,232 is 15961368

GCF of denominators i.e. for 717,114,339 is 3.

Thus, LCM of Fractions is 5320456.Finally, LCM of Fractions for 71/717, 969/114, 232/339 is 5320456.