Least Common Multiple of 7643/593, 9221/9921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7643/593, 9221/9921 quickly i.e. 70476103 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7643/593, 9221/9921 is 70476103.

LCM(7643/593, 9221/9921) = 70476103

LCM of 7643/593, 9221/9921

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 7643/593,9221/9921

Given numbers are 7643/593,9221/9921

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 7643,9221

Least Common Multiple of Numerators i.e. LCM of 7643,9221 is 70476103.

GCF of Denominators means GCF of 593,9921 as per the given fractions.

GCF of 593,9921 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7643,9221

LCM of Fractions 7643/593,9221/9921 is 70476103

Given numbers has no common factors except 1. So, there LCM is their product i.e 70476103

Least Common Multiple of 7643,9221 with GCF Formula

Least Common Multiple of 7643,9221 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 7643,9221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7643,9221) = 1

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

GCF(7643,9221) x common factors =1 x 1 = 1

LCM(7643,9221) = ( 7643 × 9221 ) / 1

LCM(7643,9221) = 70476103 / 1

LCM(7643,9221) = 70476103


Lets's calculate GCF of 593,9921

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70476103/1

Therefore the LCM of Fractions 7643/593,9221/9921 is 70476103

Greatest Common Factor of 593,9921 By Matching Biggest Common Factor Method

Greatest Common Factor of 593,9921 By Matching Biggest Common Factor Method

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Factors of 9921

List of positive integer factors of 9921 that divides 9921 without a remainder.

1,3,3307,9921

Greatest Common Factor

We found the factors 593,9921 . The biggest common factor number is the GCF number.
So the greatest common factor 593,9921 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7643/593, 9221/9921

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 7643/593, 9221/9921?

Answer: LCM of Numerators as per given numbers 7643/593, 9221/9921 is

LCM of Numerators i.e. for 7643,9221 is 70476103

GCF of denominators i.e. for 593,9921 is 1.

Thus, LCM of Fractions is 70476103.Finally, LCM of Fractions for 7643/593, 9221/9921 is 70476103.