Least Common Multiple of 4667/936, 5654/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4667/936, 5654/723 quickly i.e. 26387218/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4667/936, 5654/723 is 26387218/3.

LCM(4667/936, 5654/723) = 26387218/3

LCM of 4667/936, 5654/723

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 4667/936,5654/723

Given numbers are 4667/936,5654/723

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 4667,5654

Least Common Multiple of Numerators i.e. LCM of 4667,5654 is 26387218.

GCF of Denominators means GCF of 936,723 as per the given fractions.

GCF of 936,723 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4667,5654

LCM of Fractions 4667/936,5654/723 is 26387218/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 26387218

Least Common Multiple of 4667,5654 with GCF Formula

Least Common Multiple of 4667,5654 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 4667,5654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4667,5654) = 1

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

GCF(4667,5654) x common factors =1 x 1 = 1

LCM(4667,5654) = ( 4667 × 5654 ) / 1

LCM(4667,5654) = 26387218 / 1

LCM(4667,5654) = 26387218


Lets's calculate GCF of 936,723

3 936, 723
312, 241

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26387218/3

Therefore the LCM of Fractions 4667/936,5654/723 is 26387218/3

Greatest Common Factor of 936,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 936,723 By Matching Biggest Common Factor Method

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 936,723 . The biggest common factor number is the GCF number.
So the greatest common factor 936,723 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4667/936, 5654/723

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 4667/936, 5654/723?

Answer: LCM of Numerators as per given numbers 4667/936, 5654/723 is

LCM of Numerators i.e. for 4667,5654 is 26387218

GCF of denominators i.e. for 936,723 is 3.

Thus, LCM of Fractions is 26387218/3.Finally, LCM of Fractions for 4667/936, 5654/723 is 26387218/3.