Least Common Multiple of 32/11, 84/44, 92/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/11, 84/44, 92/253 quickly i.e. 15456/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/11, 84/44, 92/253 is 15456/11.

LCM(32/11, 84/44, 92/253) = 15456/11

LCM of 32/11, 84/44, 92/253

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 32/11,84/44,92/253

Given numbers are 32/11,84/44,92/253

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 32,84,92

Least Common Multiple of Numerators i.e. LCM of 32,84,92 is 15456.

GCF of Denominators means GCF of 11,44,253 as per the given fractions.

GCF of 11,44,253 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,84,92

LCM of Fractions 32/11,84/44,92/253 is 15456/11

2 32, 84, 92
2 16, 42, 46
8, 21, 23

∴ So the LCM of the given numbers is 2 x 2 x 8 x 21 x 23 = 15456

Least Common Multiple of 32,84,92 with GCF Formula

Least Common Multiple of 32,84,92 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 32,84,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,84,92) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(32,84,92) x common factors =4 x 4 = 16

LCM(32,84,92) = ( 32 × 84 × 92 ) / 16

LCM(32,84,92) = 247296 / 16

LCM(32,84,92) = 15456


Lets's calculate GCF of 11,44,253

11 11, 44, 253
1, 4, 23

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15456/11

Therefore the LCM of Fractions 32/11,84/44,92/253 is 15456/11

Greatest Common Factor of 11,44,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,44,253 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 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 11,44,253 . The biggest common factor number is the GCF number.
So the greatest common factor 11,44,253 is 11.


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 32/11, 84/44, 92/253

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 32/11, 84/44, 92/253?

Answer: LCM of Numerators as per given numbers 32/11, 84/44, 92/253 is

LCM of Numerators i.e. for 32,84,92 is 15456

GCF of denominators i.e. for 11,44,253 is 11.

Thus, LCM of Fractions is 15456/11.Finally, LCM of Fractions for 32/11, 84/44, 92/253 is 15456/11.