Least Common Multiple of 717/82, 645/53, 836/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 717/82, 645/53, 836/357 quickly i.e. 128873580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 717/82, 645/53, 836/357 is 128873580.

LCM(717/82, 645/53, 836/357) = 128873580

LCM of 717/82, 645/53, 836/357

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 717/82,645/53,836/357

Given numbers are 717/82,645/53,836/357

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 717,645,836

Least Common Multiple of Numerators i.e. LCM of 717,645,836 is 128873580.

GCF of Denominators means GCF of 82,53,357 as per the given fractions.

GCF of 82,53,357 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 717,645,836

LCM of Fractions 717/82,645/53,836/357 is 128873580

3 717, 645, 836
239, 215, 836

∴ So the LCM of the given numbers is 3 x 239 x 215 x 836 = 128873580

Least Common Multiple of 717,645,836 with GCF Formula

Least Common Multiple of 717,645,836 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 717,645,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,645,836) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(717,645,836) x common factors =1 x 3 = 3

LCM(717,645,836) = ( 717 × 645 × 836 ) / 3

LCM(717,645,836) = 386620740 / 3

LCM(717,645,836) = 128873580


Lets's calculate GCF of 82,53,357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128873580/1

Therefore the LCM of Fractions 717/82,645/53,836/357 is 128873580

Greatest Common Factor of 82,53,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,53,357 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 82,53,357 . The biggest common factor number is the GCF number.
So the greatest common factor 82,53,357 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 717/82, 645/53, 836/357

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 717/82, 645/53, 836/357?

Answer: LCM of Numerators as per given numbers 717/82, 645/53, 836/357 is

LCM of Numerators i.e. for 717,645,836 is 128873580

GCF of denominators i.e. for 82,53,357 is 1.

Thus, LCM of Fractions is 128873580.Finally, LCM of Fractions for 717/82, 645/53, 836/357 is 128873580.