Least Common Multiple of 28/352, 3645/5920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/352, 3645/5920 quickly i.e. 102060/32 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/352, 3645/5920 is 102060/32.

LCM(28/352, 3645/5920) = 102060/32

LCM of 28/352, 3645/5920

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 28/352,3645/5920

Given numbers are 28/352,3645/5920

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 28,3645

Least Common Multiple of Numerators i.e. LCM of 28,3645 is 102060.

GCF of Denominators means GCF of 352,5920 as per the given fractions.

GCF of 352,5920 is 32 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,3645

LCM of Fractions 28/352,3645/5920 is 102060/32

Given numbers has no common factors except 1. So, there LCM is their product i.e 102060

Least Common Multiple of 28,3645 with GCF Formula

Least Common Multiple of 28,3645 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 28,3645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,3645) = 1

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

GCF(28,3645) x common factors =1 x 1 = 1

LCM(28,3645) = ( 28 × 3645 ) / 1

LCM(28,3645) = 102060 / 1

LCM(28,3645) = 102060


Lets's calculate GCF of 352,5920

2 352, 5920
2 176, 2960
2 88, 1480
2 44, 740
2 22, 370
11, 185

∴ 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 = 102060/32

Therefore the LCM of Fractions 28/352,3645/5920 is 102060/32

Greatest Common Factor of 352,5920 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,5920 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 5920

List of positive integer factors of 5920 that divides 5920 without a remainder.

1,2,4,5,8,10,16,20,32,37,40,74,80,148,160,185,296,370,592,740,1184,1480,2960,5920

Greatest Common Factor

We found the factors 352,5920 . The biggest common factor number is the GCF number.
So the greatest common factor 352,5920 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 28/352, 3645/5920

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 28/352, 3645/5920?

Answer: LCM of Numerators as per given numbers 28/352, 3645/5920 is

LCM of Numerators i.e. for 28,3645 is 102060

GCF of denominators i.e. for 352,5920 is 32.

Thus, LCM of Fractions is 102060/32.Finally, LCM of Fractions for 28/352, 3645/5920 is 102060/32.