Least Common Multiple of 112/33, 351/86, 824/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 112/33, 351/86, 824/123 quickly i.e. 4049136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 112/33, 351/86, 824/123 is 4049136.

LCM(112/33, 351/86, 824/123) = 4049136

LCM of 112/33, 351/86, 824/123

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 112/33,351/86,824/123

Given numbers are 112/33,351/86,824/123

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 112,351,824

Least Common Multiple of Numerators i.e. LCM of 112,351,824 is 4049136.

GCF of Denominators means GCF of 33,86,123 as per the given fractions.

GCF of 33,86,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 112,351,824

LCM of Fractions 112/33,351/86,824/123 is 4049136

2 112, 351, 824
2 56, 351, 412
2 28, 351, 206
14, 351, 103

∴ So the LCM of the given numbers is 2 x 2 x 2 x 14 x 351 x 103 = 4049136

Least Common Multiple of 112,351,824 with GCF Formula

Least Common Multiple of 112,351,824 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 112,351,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,351,824) = 1

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

GCF(112,351,824) x common factors =1 x 8 = 8

LCM(112,351,824) = ( 112 × 351 × 824 ) / 8

LCM(112,351,824) = 32393088 / 8

LCM(112,351,824) = 4049136


Lets's calculate GCF of 33,86,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4049136/1

Therefore the LCM of Fractions 112/33,351/86,824/123 is 4049136

Greatest Common Factor of 33,86,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,86,123 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 33,86,123 . The biggest common factor number is the GCF number.
So the greatest common factor 33,86,123 is 1.


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 112/33, 351/86, 824/123

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 112/33, 351/86, 824/123?

Answer: LCM of Numerators as per given numbers 112/33, 351/86, 824/123 is

LCM of Numerators i.e. for 112,351,824 is 4049136

GCF of denominators i.e. for 33,86,123 is 1.

Thus, LCM of Fractions is 4049136.Finally, LCM of Fractions for 112/33, 351/86, 824/123 is 4049136.