Least Common Multiple of 3744/934, 6567/8904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3744/934, 6567/8904 quickly i.e. 4097808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3744/934, 6567/8904 is 4097808.

LCM(3744/934, 6567/8904) = 4097808

LCM of 3744/934, 6567/8904

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 3744/934,6567/8904

Given numbers are 3744/934,6567/8904

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 3744,6567

Least Common Multiple of Numerators i.e. LCM of 3744,6567 is 8195616.

GCF of Denominators means GCF of 934,8904 as per the given fractions.

GCF of 934,8904 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3744,6567

LCM of Fractions 3744/934,6567/8904 is 4097808

3 3744, 6567
1248, 2189

∴ So the LCM of the given numbers is 3 x 1248 x 2189 = 8195616

Least Common Multiple of 3744,6567 with GCF Formula

Least Common Multiple of 3744,6567 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 3744,6567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3744,6567) = 3

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

GCF(3744,6567) x common factors =3 x 1 = 3

LCM(3744,6567) = ( 3744 × 6567 ) / 3

LCM(3744,6567) = 24586848 / 3

LCM(3744,6567) = 8195616


Lets's calculate GCF of 934,8904

2 934, 8904
467, 4452

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8195616/2

Therefore the LCM of Fractions 3744/934,6567/8904 is 4097808

Greatest Common Factor of 934,8904 By Matching Biggest Common Factor Method

Greatest Common Factor of 934,8904 By Matching Biggest Common Factor Method

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Factors of 8904

List of positive integer factors of 8904 that divides 8904 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,53,56,84,106,159,168,212,318,371,424,636,742,1113,1272,1484,2226,2968,4452,8904

Greatest Common Factor

We found the factors 934,8904 . The biggest common factor number is the GCF number.
So the greatest common factor 934,8904 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3744/934, 6567/8904

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 3744/934, 6567/8904?

Answer: LCM of Numerators as per given numbers 3744/934, 6567/8904 is

LCM of Numerators i.e. for 3744,6567 is 8195616

GCF of denominators i.e. for 934,8904 is 2.

Thus, LCM of Fractions is 4097808.Finally, LCM of Fractions for 3744/934, 6567/8904 is 4097808.