Least Common Multiple of 11/52, 304/32, 226/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/52, 304/32, 226/112 quickly i.e. 94468 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/52, 304/32, 226/112 is 94468.

LCM(11/52, 304/32, 226/112) = 94468

LCM of 11/52, 304/32, 226/112

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 11/52,304/32,226/112

Given numbers are 11/52,304/32,226/112

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 11,304,226

Least Common Multiple of Numerators i.e. LCM of 11,304,226 is 377872.

GCF of Denominators means GCF of 52,32,112 as per the given fractions.

GCF of 52,32,112 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,304,226

LCM of Fractions 11/52,304/32,226/112 is 94468

2 11, 304, 226
11, 152, 113

∴ So the LCM of the given numbers is 2 x 11 x 152 x 113 = 377872

Least Common Multiple of 11,304,226 with GCF Formula

Least Common Multiple of 11,304,226 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 11,304,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,304,226) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(11,304,226) x common factors =1 x 2 = 2

LCM(11,304,226) = ( 11 × 304 × 226 ) / 2

LCM(11,304,226) = 755744 / 2

LCM(11,304,226) = 377872


Lets's calculate GCF of 52,32,112

2 52, 32, 112
2 26, 16, 56
13, 8, 28

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 377872/4

Therefore the LCM of Fractions 11/52,304/32,226/112 is 94468

Greatest Common Factor of 52,32,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,32,112 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 52,32,112 . The biggest common factor number is the GCF number.
So the greatest common factor 52,32,112 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 11/52, 304/32, 226/112

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 11/52, 304/32, 226/112?

Answer: LCM of Numerators as per given numbers 11/52, 304/32, 226/112 is

LCM of Numerators i.e. for 11,304,226 is 377872

GCF of denominators i.e. for 52,32,112 is 4.

Thus, LCM of Fractions is 94468.Finally, LCM of Fractions for 11/52, 304/32, 226/112 is 94468.