Least Common Multiple of 12/11, 472/79, 248/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 12/11, 472/79, 248/238 quickly i.e. 43896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/11, 472/79, 248/238 is 43896.

LCM(12/11, 472/79, 248/238) = 43896

LCM of 12/11, 472/79, 248/238

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 12/11,472/79,248/238

Given numbers are 12/11,472/79,248/238

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 12,472,248

Least Common Multiple of Numerators i.e. LCM of 12,472,248 is 43896.

GCF of Denominators means GCF of 11,79,238 as per the given fractions.

GCF of 11,79,238 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,472,248

LCM of Fractions 12/11,472/79,248/238 is 43896

2 12, 472, 248
2 6, 236, 124
2 3, 118, 62
3, 59, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 59 x 31 = 43896

Least Common Multiple of 12,472,248 with GCF Formula

Least Common Multiple of 12,472,248 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 12,472,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,472,248) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(12,472,248) x common factors =4 x 8 = 32

LCM(12,472,248) = ( 12 × 472 × 248 ) / 32

LCM(12,472,248) = 1404672 / 32

LCM(12,472,248) = 43896


Lets's calculate GCF of 11,79,238

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43896/1

Therefore the LCM of Fractions 12/11,472/79,248/238 is 43896

Greatest Common Factor of 11,79,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,79,238 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 11,79,238 . The biggest common factor number is the GCF number.
So the greatest common factor 11,79,238 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 12/11, 472/79, 248/238

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 12/11, 472/79, 248/238?

Answer: LCM of Numerators as per given numbers 12/11, 472/79, 248/238 is

LCM of Numerators i.e. for 12,472,248 is 43896

GCF of denominators i.e. for 11,79,238 is 1.

Thus, LCM of Fractions is 43896.Finally, LCM of Fractions for 12/11, 472/79, 248/238 is 43896.