Least Common Multiple of 88/87, 11/80, 52/56, 353/54

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 88/87, 11/80, 52/56, 353/54 quickly i.e. 403832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/87, 11/80, 52/56, 353/54 is 403832.

LCM(88/87, 11/80, 52/56, 353/54) = 403832

LCM of 88/87, 11/80, 52/56, 353/54

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 88/87,11/80,52/56,353/54

Given numbers are 88/87,11/80,52/56,353/54

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 88,11,52,353

Least Common Multiple of Numerators i.e. LCM of 88,11,52,353 is 403832.

GCF of Denominators means GCF of 87,80,56,54 as per the given fractions.

GCF of 87,80,56,54 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,11,52,353

LCM of Fractions 88/87,11/80,52/56,353/54 is 403832

2 88, 11, 52, 353
2 44, 11, 26, 353
11 22, 11, 13, 353
2, 1, 13, 353

∴ So the LCM of the given numbers is 2 x 2 x 11 x 2 x 1 x 13 x 353 = 403832

Least Common Multiple of 88,11,52,353 with GCF Formula

Least Common Multiple of 88,11,52,353 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 88,11,52,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,11,52,353) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(88,11,52,353) x common factors =1 x 44 = 44

LCM(88,11,52,353) = ( 88 × 11 × 52 × 353 ) / 44

LCM(88,11,52,353) = 17768608 / 44

LCM(88,11,52,353) = 403832


Lets's calculate GCF of 87,80,56,54

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 403832/1

Therefore the LCM of Fractions 88/87,11/80,52/56,353/54 is 403832

Greatest Common Factor of 87,80,56,54 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,80,56,54 By Matching Biggest Common Factor Method

Factors of 87

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

1,3,29,87

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Greatest Common Factor

We found the factors 87,80,56,54 . The biggest common factor number is the GCF number.
So the greatest common factor 87,80,56,54 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 88/87, 11/80, 52/56, 353/54

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 88/87, 11/80, 52/56, 353/54?

Answer: LCM of Numerators as per given numbers 88/87, 11/80, 52/56, 353/54 is

LCM of Numerators i.e. for 88,11,52,353 is 403832

GCF of denominators i.e. for 87,80,56,54 is 1.

Thus, LCM of Fractions is 403832.Finally, LCM of Fractions for 88/87, 11/80, 52/56, 353/54 is 403832.