Least Common Multiple of 9094/188, 6272/8592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9094/188, 6272/8592 quickly i.e. 7129696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9094/188, 6272/8592 is 7129696.

LCM(9094/188, 6272/8592) = 7129696

LCM of 9094/188, 6272/8592

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 9094/188,6272/8592

Given numbers are 9094/188,6272/8592

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 9094,6272

Least Common Multiple of Numerators i.e. LCM of 9094,6272 is 28518784.

GCF of Denominators means GCF of 188,8592 as per the given fractions.

GCF of 188,8592 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9094,6272

LCM of Fractions 9094/188,6272/8592 is 7129696

2 9094, 6272
4547, 3136

∴ So the LCM of the given numbers is 2 x 4547 x 3136 = 28518784

Least Common Multiple of 9094,6272 with GCF Formula

Least Common Multiple of 9094,6272 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 9094,6272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9094,6272) = 2

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

GCF(9094,6272) x common factors =2 x 1 = 2

LCM(9094,6272) = ( 9094 × 6272 ) / 2

LCM(9094,6272) = 57037568 / 2

LCM(9094,6272) = 28518784


Lets's calculate GCF of 188,8592

2 188, 8592
2 94, 4296
47, 2148

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28518784/4

Therefore the LCM of Fractions 9094/188,6272/8592 is 7129696

Greatest Common Factor of 188,8592 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,8592 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 8592

List of positive integer factors of 8592 that divides 8592 without a remainder.

1,2,3,4,6,8,12,16,24,48,179,358,537,716,1074,1432,2148,2864,4296,8592

Greatest Common Factor

We found the factors 188,8592 . The biggest common factor number is the GCF number.
So the greatest common factor 188,8592 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9094/188, 6272/8592

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 9094/188, 6272/8592?

Answer: LCM of Numerators as per given numbers 9094/188, 6272/8592 is

LCM of Numerators i.e. for 9094,6272 is 28518784

GCF of denominators i.e. for 188,8592 is 4.

Thus, LCM of Fractions is 7129696.Finally, LCM of Fractions for 9094/188, 6272/8592 is 7129696.