Least Common Multiple of 18/98, 57/82, 54/52, 88/303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 18/98, 57/82, 54/52, 88/303 quickly i.e. 45144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/98, 57/82, 54/52, 88/303 is 45144.

LCM(18/98, 57/82, 54/52, 88/303) = 45144

LCM of 18/98, 57/82, 54/52, 88/303

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 18/98,57/82,54/52,88/303

Given numbers are 18/98,57/82,54/52,88/303

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 18,57,54,88

Least Common Multiple of Numerators i.e. LCM of 18,57,54,88 is 45144.

GCF of Denominators means GCF of 98,82,52,303 as per the given fractions.

GCF of 98,82,52,303 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,57,54,88

LCM of Fractions 18/98,57/82,54/52,88/303 is 45144

2 18, 57, 54, 88
3 9, 57, 27, 44
3 3, 19, 9, 44
1, 19, 3, 44

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 19 x 3 x 44 = 45144

Least Common Multiple of 18,57,54,88 with GCF Formula

Least Common Multiple of 18,57,54,88 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 18,57,54,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,57,54,88) = 1

common factors(in case of two or more numbers have common factors) = 108

GCF(18,57,54,88) x common factors =1 x 108 = 108

LCM(18,57,54,88) = ( 18 × 57 × 54 × 88 ) / 108

LCM(18,57,54,88) = 4875552 / 108

LCM(18,57,54,88) = 45144


Lets's calculate GCF of 98,82,52,303

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45144/1

Therefore the LCM of Fractions 18/98,57/82,54/52,88/303 is 45144

Greatest Common Factor of 98,82,52,303 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,82,52,303 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Greatest Common Factor

We found the factors 98,82,52,303 . The biggest common factor number is the GCF number.
So the greatest common factor 98,82,52,303 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 18/98, 57/82, 54/52, 88/303

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 18/98, 57/82, 54/52, 88/303?

Answer: LCM of Numerators as per given numbers 18/98, 57/82, 54/52, 88/303 is

LCM of Numerators i.e. for 18,57,54,88 is 45144

GCF of denominators i.e. for 98,82,52,303 is 1.

Thus, LCM of Fractions is 45144.Finally, LCM of Fractions for 18/98, 57/82, 54/52, 88/303 is 45144.