Least Common Multiple of 32/352, 5773/6112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/352, 5773/6112 quickly i.e. 5773 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/352, 5773/6112 is 5773.

LCM(32/352, 5773/6112) = 5773

LCM of 32/352, 5773/6112

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 32/352,5773/6112

Given numbers are 32/352,5773/6112

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 32,5773

Least Common Multiple of Numerators i.e. LCM of 32,5773 is 184736.

GCF of Denominators means GCF of 352,6112 as per the given fractions.

GCF of 352,6112 is 32 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,5773

LCM of Fractions 32/352,5773/6112 is 5773

Given numbers has no common factors except 1. So, there LCM is their product i.e 184736

Least Common Multiple of 32,5773 with GCF Formula

Least Common Multiple of 32,5773 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 32,5773 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,5773) = 1

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

GCF(32,5773) x common factors =1 x 1 = 1

LCM(32,5773) = ( 32 × 5773 ) / 1

LCM(32,5773) = 184736 / 1

LCM(32,5773) = 184736


Lets's calculate GCF of 352,6112

2 352, 6112
2 176, 3056
2 88, 1528
2 44, 764
2 22, 382
11, 191

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 184736/32

Therefore the LCM of Fractions 32/352,5773/6112 is 5773

Greatest Common Factor of 352,6112 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,6112 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 6112

List of positive integer factors of 6112 that divides 6112 without a remainder.

1,2,4,8,16,32,191,382,764,1528,3056,6112

Greatest Common Factor

We found the factors 352,6112 . The biggest common factor number is the GCF number.
So the greatest common factor 352,6112 is 32.


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 32/352, 5773/6112

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 32/352, 5773/6112?

Answer: LCM of Numerators as per given numbers 32/352, 5773/6112 is

LCM of Numerators i.e. for 32,5773 is 184736

GCF of denominators i.e. for 352,6112 is 32.

Thus, LCM of Fractions is 5773.Finally, LCM of Fractions for 32/352, 5773/6112 is 5773.