Least Common Multiple of 98/163, 981/35, 189/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 98/163, 981/35, 189/297 quickly i.e. 288414 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/163, 981/35, 189/297 is 288414.

LCM(98/163, 981/35, 189/297) = 288414

LCM of 98/163, 981/35, 189/297

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 98/163,981/35,189/297

Given numbers are 98/163,981/35,189/297

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 98,981,189

Least Common Multiple of Numerators i.e. LCM of 98,981,189 is 288414.

GCF of Denominators means GCF of 163,35,297 as per the given fractions.

GCF of 163,35,297 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,981,189

LCM of Fractions 98/163,981/35,189/297 is 288414

3 98, 981, 189
3 98, 327, 63
7 98, 109, 21
14, 109, 3

∴ So the LCM of the given numbers is 3 x 3 x 7 x 14 x 109 x 3 = 288414

Least Common Multiple of 98,981,189 with GCF Formula

Least Common Multiple of 98,981,189 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 98,981,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,981,189) = 1

common factors(in case of two or more numbers have common factors) = 63

GCF(98,981,189) x common factors =1 x 63 = 63

LCM(98,981,189) = ( 98 × 981 × 189 ) / 63

LCM(98,981,189) = 18170082 / 63

LCM(98,981,189) = 288414


Lets's calculate GCF of 163,35,297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 288414/1

Therefore the LCM of Fractions 98/163,981/35,189/297 is 288414

Greatest Common Factor of 163,35,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 163,35,297 By Matching Biggest Common Factor Method

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 163,35,297 . The biggest common factor number is the GCF number.
So the greatest common factor 163,35,297 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 98/163, 981/35, 189/297

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 98/163, 981/35, 189/297?

Answer: LCM of Numerators as per given numbers 98/163, 981/35, 189/297 is

LCM of Numerators i.e. for 98,981,189 is 288414

GCF of denominators i.e. for 163,35,297 is 1.

Thus, LCM of Fractions is 288414.Finally, LCM of Fractions for 98/163, 981/35, 189/297 is 288414.