Least Common Multiple of 913/317, 645/524, 747/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 913/317, 645/524, 747/898 quickly i.e. 1766655 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 913/317, 645/524, 747/898 is 1766655.

LCM(913/317, 645/524, 747/898) = 1766655

LCM of 913/317, 645/524, 747/898

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 913/317,645/524,747/898

Given numbers are 913/317,645/524,747/898

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 913,645,747

Least Common Multiple of Numerators i.e. LCM of 913,645,747 is 1766655.

GCF of Denominators means GCF of 317,524,898 as per the given fractions.

GCF of 317,524,898 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 913,645,747

LCM of Fractions 913/317,645/524,747/898 is 1766655

3 913, 645, 747
83 913, 215, 249
11, 215, 3

∴ So the LCM of the given numbers is 3 x 83 x 11 x 215 x 3 = 1766655

Least Common Multiple of 913,645,747 with GCF Formula

Least Common Multiple of 913,645,747 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 913,645,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(913,645,747) = 1

common factors(in case of two or more numbers have common factors) = 249

GCF(913,645,747) x common factors =1 x 249 = 249

LCM(913,645,747) = ( 913 × 645 × 747 ) / 249

LCM(913,645,747) = 439897095 / 249

LCM(913,645,747) = 1766655


Lets's calculate GCF of 317,524,898

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1766655/1

Therefore the LCM of Fractions 913/317,645/524,747/898 is 1766655

Greatest Common Factor of 317,524,898 By Matching Biggest Common Factor Method

Greatest Common Factor of 317,524,898 By Matching Biggest Common Factor Method

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Greatest Common Factor

We found the factors 317,524,898 . The biggest common factor number is the GCF number.
So the greatest common factor 317,524,898 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 913/317, 645/524, 747/898

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 913/317, 645/524, 747/898?

Answer: LCM of Numerators as per given numbers 913/317, 645/524, 747/898 is

LCM of Numerators i.e. for 913,645,747 is 1766655

GCF of denominators i.e. for 317,524,898 is 1.

Thus, LCM of Fractions is 1766655.Finally, LCM of Fractions for 913/317, 645/524, 747/898 is 1766655.