Least Common Multiple of 9451/652, 8832/7194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9451/652, 8832/7194 quickly i.e. 41735616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9451/652, 8832/7194 is 41735616.

LCM(9451/652, 8832/7194) = 41735616

LCM of 9451/652, 8832/7194

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 9451/652,8832/7194

Given numbers are 9451/652,8832/7194

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 9451,8832

Least Common Multiple of Numerators i.e. LCM of 9451,8832 is 83471232.

GCF of Denominators means GCF of 652,7194 as per the given fractions.

GCF of 652,7194 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9451,8832

LCM of Fractions 9451/652,8832/7194 is 41735616

Given numbers has no common factors except 1. So, there LCM is their product i.e 83471232

Least Common Multiple of 9451,8832 with GCF Formula

Least Common Multiple of 9451,8832 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 9451,8832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9451,8832) = 1

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

GCF(9451,8832) x common factors =1 x 1 = 1

LCM(9451,8832) = ( 9451 × 8832 ) / 1

LCM(9451,8832) = 83471232 / 1

LCM(9451,8832) = 83471232


Lets's calculate GCF of 652,7194

2 652, 7194
326, 3597

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83471232/2

Therefore the LCM of Fractions 9451/652,8832/7194 is 41735616

Greatest Common Factor of 652,7194 By Matching Biggest Common Factor Method

Greatest Common Factor of 652,7194 By Matching Biggest Common Factor Method

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Factors of 7194

List of positive integer factors of 7194 that divides 7194 without a remainder.

1,2,3,6,11,22,33,66,109,218,327,654,1199,2398,3597,7194

Greatest Common Factor

We found the factors 652,7194 . The biggest common factor number is the GCF number.
So the greatest common factor 652,7194 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9451/652, 8832/7194

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 9451/652, 8832/7194?

Answer: LCM of Numerators as per given numbers 9451/652, 8832/7194 is

LCM of Numerators i.e. for 9451,8832 is 83471232

GCF of denominators i.e. for 652,7194 is 2.

Thus, LCM of Fractions is 41735616.Finally, LCM of Fractions for 9451/652, 8832/7194 is 41735616.