Least Common Multiple of 28/11, 12/96, 88/87, 88/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 28/11, 12/96, 88/87, 88/879 quickly i.e. 1848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/11, 12/96, 88/87, 88/879 is 1848.

LCM(28/11, 12/96, 88/87, 88/879) = 1848

LCM of 28/11, 12/96, 88/87, 88/879

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 28/11,12/96,88/87,88/879

Given numbers are 28/11,12/96,88/87,88/879

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 28,12,88,88

Least Common Multiple of Numerators i.e. LCM of 28,12,88,88 is 1848.

GCF of Denominators means GCF of 11,96,87,879 as per the given fractions.

GCF of 11,96,87,879 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,12,88,88

LCM of Fractions 28/11,12/96,88/87,88/879 is 1848

2 28, 12, 88, 88
2 14, 6, 44, 44
2 7, 3, 22, 22
11 7, 3, 11, 11
7, 3, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 7 x 3 x 1 x 1 = 1848

Least Common Multiple of 28,12,88,88 with GCF Formula

Least Common Multiple of 28,12,88,88 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 28,12,88,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,12,88,88) = 4

common factors(in case of two or more numbers have common factors) = 352

GCF(28,12,88,88) x common factors =4 x 352 = 1408

LCM(28,12,88,88) = ( 28 × 12 × 88 × 88 ) / 1408

LCM(28,12,88,88) = 2601984 / 1408

LCM(28,12,88,88) = 1848


Lets's calculate GCF of 11,96,87,879

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1848/1

Therefore the LCM of Fractions 28/11,12/96,88/87,88/879 is 1848

Greatest Common Factor of 11,96,87,879 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,96,87,879 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 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Greatest Common Factor

We found the factors 11,96,87,879 . The biggest common factor number is the GCF number.
So the greatest common factor 11,96,87,879 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 28/11, 12/96, 88/87, 88/879

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 28/11, 12/96, 88/87, 88/879?

Answer: LCM of Numerators as per given numbers 28/11, 12/96, 88/87, 88/879 is

LCM of Numerators i.e. for 28,12,88,88 is 1848

GCF of denominators i.e. for 11,96,87,879 is 1.

Thus, LCM of Fractions is 1848.Finally, LCM of Fractions for 28/11, 12/96, 88/87, 88/879 is 1848.