Least Common Multiple of 28/880, 3599/1152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/880, 3599/1152 quickly i.e. 100772/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/880, 3599/1152 is 100772/16.

LCM(28/880, 3599/1152) = 100772/16

LCM of 28/880, 3599/1152

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 28/880,3599/1152

Given numbers are 28/880,3599/1152

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 28,3599

Least Common Multiple of Numerators i.e. LCM of 28,3599 is 100772.

GCF of Denominators means GCF of 880,1152 as per the given fractions.

GCF of 880,1152 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,3599

LCM of Fractions 28/880,3599/1152 is 100772/16

Given numbers has no common factors except 1. So, there LCM is their product i.e 100772

Least Common Multiple of 28,3599 with GCF Formula

Least Common Multiple of 28,3599 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 28,3599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,3599) = 1

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

GCF(28,3599) x common factors =1 x 1 = 1

LCM(28,3599) = ( 28 × 3599 ) / 1

LCM(28,3599) = 100772 / 1

LCM(28,3599) = 100772


Lets's calculate GCF of 880,1152

2 880, 1152
2 440, 576
2 220, 288
2 110, 144
55, 72

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100772/16

Therefore the LCM of Fractions 28/880,3599/1152 is 100772/16

Greatest Common Factor of 880,1152 By Matching Biggest Common Factor Method

Greatest Common Factor of 880,1152 By Matching Biggest Common Factor Method

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 1152

List of positive integer factors of 1152 that divides 1152 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,288,384,576,1152

Greatest Common Factor

We found the factors 880,1152 . The biggest common factor number is the GCF number.
So the greatest common factor 880,1152 is 16.


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 28/880, 3599/1152

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 28/880, 3599/1152?

Answer: LCM of Numerators as per given numbers 28/880, 3599/1152 is

LCM of Numerators i.e. for 28,3599 is 100772

GCF of denominators i.e. for 880,1152 is 16.

Thus, LCM of Fractions is 100772/16.Finally, LCM of Fractions for 28/880, 3599/1152 is 100772/16.