Least Common Multiple of 8856/23, 8164/941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8856/23, 8164/941 quickly i.e. 18075096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8856/23, 8164/941 is 18075096.

LCM(8856/23, 8164/941) = 18075096

LCM of 8856/23, 8164/941

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 8856/23,8164/941

Given numbers are 8856/23,8164/941

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 8856,8164

Least Common Multiple of Numerators i.e. LCM of 8856,8164 is 18075096.

GCF of Denominators means GCF of 23,941 as per the given fractions.

GCF of 23,941 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8856,8164

LCM of Fractions 8856/23,8164/941 is 18075096

2 8856, 8164
2 4428, 4082
2214, 2041

∴ So the LCM of the given numbers is 2 x 2 x 2214 x 2041 = 18075096

Least Common Multiple of 8856,8164 with GCF Formula

Least Common Multiple of 8856,8164 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 8856,8164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8856,8164) = 4

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

GCF(8856,8164) x common factors =4 x 1 = 4

LCM(8856,8164) = ( 8856 × 8164 ) / 4

LCM(8856,8164) = 72300384 / 4

LCM(8856,8164) = 18075096


Lets's calculate GCF of 23,941

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18075096/1

Therefore the LCM of Fractions 8856/23,8164/941 is 18075096

Greatest Common Factor of 23,941 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,941 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Greatest Common Factor

We found the factors 23,941 . The biggest common factor number is the GCF number.
So the greatest common factor 23,941 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8856/23, 8164/941

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 8856/23, 8164/941?

Answer: LCM of Numerators as per given numbers 8856/23, 8164/941 is

LCM of Numerators i.e. for 8856,8164 is 18075096

GCF of denominators i.e. for 23,941 is 1.

Thus, LCM of Fractions is 18075096.Finally, LCM of Fractions for 8856/23, 8164/941 is 18075096.