Least Common Multiple of 10/326, 586/876, 717/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/326, 586/876, 717/564 quickly i.e. 1050405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/326, 586/876, 717/564 is 1050405.

LCM(10/326, 586/876, 717/564) = 1050405

LCM of 10/326, 586/876, 717/564

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 10/326,586/876,717/564

Given numbers are 10/326,586/876,717/564

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 10,586,717

Least Common Multiple of Numerators i.e. LCM of 10,586,717 is 2100810.

GCF of Denominators means GCF of 326,876,564 as per the given fractions.

GCF of 326,876,564 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,586,717

LCM of Fractions 10/326,586/876,717/564 is 1050405

2 10, 586, 717
5, 293, 717

∴ So the LCM of the given numbers is 2 x 5 x 293 x 717 = 2100810

Least Common Multiple of 10,586,717 with GCF Formula

Least Common Multiple of 10,586,717 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 10,586,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,586,717) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(10,586,717) x common factors =1 x 2 = 2

LCM(10,586,717) = ( 10 × 586 × 717 ) / 2

LCM(10,586,717) = 4201620 / 2

LCM(10,586,717) = 2100810


Lets's calculate GCF of 326,876,564

2 326, 876, 564
163, 438, 282

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2100810/2

Therefore the LCM of Fractions 10/326,586/876,717/564 is 1050405

Greatest Common Factor of 326,876,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 326,876,564 By Matching Biggest Common Factor Method

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 326,876,564 . The biggest common factor number is the GCF number.
So the greatest common factor 326,876,564 is 2.


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 10/326, 586/876, 717/564

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 10/326, 586/876, 717/564?

Answer: LCM of Numerators as per given numbers 10/326, 586/876, 717/564 is

LCM of Numerators i.e. for 10,586,717 is 2100810

GCF of denominators i.e. for 326,876,564 is 2.

Thus, LCM of Fractions is 1050405.Finally, LCM of Fractions for 10/326, 586/876, 717/564 is 1050405.