Least Common Multiple of 940/230, 9944/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 940/230, 9944/744 quickly i.e. 1168420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 940/230, 9944/744 is 1168420.

LCM(940/230, 9944/744) = 1168420

LCM of 940/230, 9944/744

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 940/230,9944/744

Given numbers are 940/230,9944/744

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 940,9944

Least Common Multiple of Numerators i.e. LCM of 940,9944 is 2336840.

GCF of Denominators means GCF of 230,744 as per the given fractions.

GCF of 230,744 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 940,9944

LCM of Fractions 940/230,9944/744 is 1168420

2 940, 9944
2 470, 4972
235, 2486

∴ So the LCM of the given numbers is 2 x 2 x 235 x 2486 = 2336840

Least Common Multiple of 940,9944 with GCF Formula

Least Common Multiple of 940,9944 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 940,9944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(940,9944) = 4

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

GCF(940,9944) x common factors =4 x 1 = 4

LCM(940,9944) = ( 940 × 9944 ) / 4

LCM(940,9944) = 9347360 / 4

LCM(940,9944) = 2336840


Lets's calculate GCF of 230,744

2 230, 744
115, 372

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2336840/2

Therefore the LCM of Fractions 940/230,9944/744 is 1168420

Greatest Common Factor of 230,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,744 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 230,744 . The biggest common factor number is the GCF number.
So the greatest common factor 230,744 is 2.


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Frequently Asked Questions on Fractional LCM of 940/230, 9944/744

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 940/230, 9944/744?

Answer: LCM of Numerators as per given numbers 940/230, 9944/744 is

LCM of Numerators i.e. for 940,9944 is 2336840

GCF of denominators i.e. for 230,744 is 2.

Thus, LCM of Fractions is 1168420.Finally, LCM of Fractions for 940/230, 9944/744 is 1168420.