Least Common Multiple of 9/326, 31/427, 86/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9/326, 31/427, 86/564 quickly i.e. 23994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/326, 31/427, 86/564 is 23994.

LCM(9/326, 31/427, 86/564) = 23994

LCM of 9/326, 31/427, 86/564

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 9/326,31/427,86/564

Given numbers are 9/326,31/427,86/564

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 9,31,86

Least Common Multiple of Numerators i.e. LCM of 9,31,86 is 23994.

GCF of Denominators means GCF of 326,427,564 as per the given fractions.

GCF of 326,427,564 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,31,86

LCM of Fractions 9/326,31/427,86/564 is 23994

Given numbers has no common factors except 1. So, there LCM is their product i.e 23994

Least Common Multiple of 9,31,86 with GCF Formula

Least Common Multiple of 9,31,86 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 9,31,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,31,86) = 1

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

GCF(9,31,86) x common factors =1 x 1 = 1

LCM(9,31,86) = ( 9 × 31 × 86 ) / 1

LCM(9,31,86) = 23994 / 1

LCM(9,31,86) = 23994


Lets's calculate GCF of 326,427,564

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23994/1

Therefore the LCM of Fractions 9/326,31/427,86/564 is 23994

Greatest Common Factor of 326,427,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 326,427,564 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 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

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 326,427,564 . The biggest common factor number is the GCF number.
So the greatest common factor 326,427,564 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9/326, 31/427, 86/564

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 9/326, 31/427, 86/564?

Answer: LCM of Numerators as per given numbers 9/326, 31/427, 86/564 is

LCM of Numerators i.e. for 9,31,86 is 23994

GCF of denominators i.e. for 326,427,564 is 1.

Thus, LCM of Fractions is 23994.Finally, LCM of Fractions for 9/326, 31/427, 86/564 is 23994.