Least Common Multiple of 1637/326, 5793/6665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1637/326, 5793/6665 quickly i.e. 9483141 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1637/326, 5793/6665 is 9483141.

LCM(1637/326, 5793/6665) = 9483141

LCM of 1637/326, 5793/6665

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 1637/326,5793/6665

Given numbers are 1637/326,5793/6665

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 1637,5793

Least Common Multiple of Numerators i.e. LCM of 1637,5793 is 9483141.

GCF of Denominators means GCF of 326,6665 as per the given fractions.

GCF of 326,6665 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1637,5793

LCM of Fractions 1637/326,5793/6665 is 9483141

Given numbers has no common factors except 1. So, there LCM is their product i.e 9483141

Least Common Multiple of 1637,5793 with GCF Formula

Least Common Multiple of 1637,5793 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 1637,5793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1637,5793) = 1

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

GCF(1637,5793) x common factors =1 x 1 = 1

LCM(1637,5793) = ( 1637 × 5793 ) / 1

LCM(1637,5793) = 9483141 / 1

LCM(1637,5793) = 9483141


Lets's calculate GCF of 326,6665

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9483141/1

Therefore the LCM of Fractions 1637/326,5793/6665 is 9483141

Greatest Common Factor of 326,6665 By Matching Biggest Common Factor Method

Greatest Common Factor of 326,6665 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 6665

List of positive integer factors of 6665 that divides 6665 without a remainder.

1,5,31,43,155,215,1333,6665

Greatest Common Factor

We found the factors 326,6665 . The biggest common factor number is the GCF number.
So the greatest common factor 326,6665 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1637/326, 5793/6665

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 1637/326, 5793/6665?

Answer: LCM of Numerators as per given numbers 1637/326, 5793/6665 is

LCM of Numerators i.e. for 1637,5793 is 9483141

GCF of denominators i.e. for 326,6665 is 1.

Thus, LCM of Fractions is 9483141.Finally, LCM of Fractions for 1637/326, 5793/6665 is 9483141.