Least Common Multiple of 9186/136, 4876/4777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9186/136, 4876/4777 quickly i.e. 22395468/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9186/136, 4876/4777 is 22395468/17.

LCM(9186/136, 4876/4777) = 22395468/17

LCM of 9186/136, 4876/4777

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 9186/136,4876/4777

Given numbers are 9186/136,4876/4777

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 9186,4876

Least Common Multiple of Numerators i.e. LCM of 9186,4876 is 22395468.

GCF of Denominators means GCF of 136,4777 as per the given fractions.

GCF of 136,4777 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9186,4876

LCM of Fractions 9186/136,4876/4777 is 22395468/17

2 9186, 4876
4593, 2438

∴ So the LCM of the given numbers is 2 x 4593 x 2438 = 22395468

Least Common Multiple of 9186,4876 with GCF Formula

Least Common Multiple of 9186,4876 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 9186,4876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9186,4876) = 2

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

GCF(9186,4876) x common factors =2 x 1 = 2

LCM(9186,4876) = ( 9186 × 4876 ) / 2

LCM(9186,4876) = 44790936 / 2

LCM(9186,4876) = 22395468


Lets's calculate GCF of 136,4777

17 136, 4777
8, 281

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22395468/17

Therefore the LCM of Fractions 9186/136,4876/4777 is 22395468/17

Greatest Common Factor of 136,4777 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,4777 By Matching Biggest Common Factor Method

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 4777

List of positive integer factors of 4777 that divides 4777 without a remainder.

1,17,281,4777

Greatest Common Factor

We found the factors 136,4777 . The biggest common factor number is the GCF number.
So the greatest common factor 136,4777 is 17.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9186/136, 4876/4777

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 9186/136, 4876/4777?

Answer: LCM of Numerators as per given numbers 9186/136, 4876/4777 is

LCM of Numerators i.e. for 9186,4876 is 22395468

GCF of denominators i.e. for 136,4777 is 17.

Thus, LCM of Fractions is 22395468/17.Finally, LCM of Fractions for 9186/136, 4876/4777 is 22395468/17.