Least Common Multiple of 717/56, 479/69, 783/787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 717/56, 479/69, 783/787 quickly i.e. 89638623 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 717/56, 479/69, 783/787 is 89638623.

LCM(717/56, 479/69, 783/787) = 89638623

LCM of 717/56, 479/69, 783/787

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 717/56,479/69,783/787

Given numbers are 717/56,479/69,783/787

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 717,479,783

Least Common Multiple of Numerators i.e. LCM of 717,479,783 is 89638623.

GCF of Denominators means GCF of 56,69,787 as per the given fractions.

GCF of 56,69,787 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 717,479,783

LCM of Fractions 717/56,479/69,783/787 is 89638623

3 717, 479, 783
239, 479, 261

∴ So the LCM of the given numbers is 3 x 239 x 479 x 261 = 89638623

Least Common Multiple of 717,479,783 with GCF Formula

Least Common Multiple of 717,479,783 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 717,479,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,479,783) = 1

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

GCF(717,479,783) x common factors =1 x 3 = 3

LCM(717,479,783) = ( 717 × 479 × 783 ) / 3

LCM(717,479,783) = 268915869 / 3

LCM(717,479,783) = 89638623


Lets's calculate GCF of 56,69,787

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89638623/1

Therefore the LCM of Fractions 717/56,479/69,783/787 is 89638623

Greatest Common Factor of 56,69,787 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,69,787 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Greatest Common Factor

We found the factors 56,69,787 . The biggest common factor number is the GCF number.
So the greatest common factor 56,69,787 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 717/56, 479/69, 783/787

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 717/56, 479/69, 783/787?

Answer: LCM of Numerators as per given numbers 717/56, 479/69, 783/787 is

LCM of Numerators i.e. for 717,479,783 is 89638623

GCF of denominators i.e. for 56,69,787 is 1.

Thus, LCM of Fractions is 89638623.Finally, LCM of Fractions for 717/56, 479/69, 783/787 is 89638623.