Least Common Multiple of 55/97, 36/63, 38/16, 88/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/97, 36/63, 38/16, 88/285 quickly i.e. 75240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/97, 36/63, 38/16, 88/285 is 75240.

LCM(55/97, 36/63, 38/16, 88/285) = 75240

LCM of 55/97, 36/63, 38/16, 88/285

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 55/97,36/63,38/16,88/285

Given numbers are 55/97,36/63,38/16,88/285

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 55,36,38,88

Least Common Multiple of Numerators i.e. LCM of 55,36,38,88 is 75240.

GCF of Denominators means GCF of 97,63,16,285 as per the given fractions.

GCF of 97,63,16,285 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,36,38,88

LCM of Fractions 55/97,36/63,38/16,88/285 is 75240

2 55, 36, 38, 88
2 55, 18, 19, 44
11 55, 9, 19, 22
5, 9, 19, 2

∴ So the LCM of the given numbers is 2 x 2 x 11 x 5 x 9 x 19 x 2 = 75240

Least Common Multiple of 55,36,38,88 with GCF Formula

Least Common Multiple of 55,36,38,88 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 55,36,38,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,36,38,88) = 1

common factors(in case of two or more numbers have common factors) = 88

GCF(55,36,38,88) x common factors =1 x 88 = 88

LCM(55,36,38,88) = ( 55 × 36 × 38 × 88 ) / 88

LCM(55,36,38,88) = 6621120 / 88

LCM(55,36,38,88) = 75240


Lets's calculate GCF of 97,63,16,285

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75240/1

Therefore the LCM of Fractions 55/97,36/63,38/16,88/285 is 75240

Greatest Common Factor of 97,63,16,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,63,16,285 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Greatest Common Factor

We found the factors 97,63,16,285 . The biggest common factor number is the GCF number.
So the greatest common factor 97,63,16,285 is 1.


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 55/97, 36/63, 38/16, 88/285

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 55/97, 36/63, 38/16, 88/285?

Answer: LCM of Numerators as per given numbers 55/97, 36/63, 38/16, 88/285 is

LCM of Numerators i.e. for 55,36,38,88 is 75240

GCF of denominators i.e. for 97,63,16,285 is 1.

Thus, LCM of Fractions is 75240.Finally, LCM of Fractions for 55/97, 36/63, 38/16, 88/285 is 75240.