Least Common Multiple of 89/58, 48/42, 11/46, 99/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/58, 48/42, 11/46, 99/198 quickly i.e. 70488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/58, 48/42, 11/46, 99/198 is 70488.

LCM(89/58, 48/42, 11/46, 99/198) = 70488

LCM of 89/58, 48/42, 11/46, 99/198

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 89/58,48/42,11/46,99/198

Given numbers are 89/58,48/42,11/46,99/198

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 89,48,11,99

Least Common Multiple of Numerators i.e. LCM of 89,48,11,99 is 140976.

GCF of Denominators means GCF of 58,42,46,198 as per the given fractions.

GCF of 58,42,46,198 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,48,11,99

LCM of Fractions 89/58,48/42,11/46,99/198 is 70488

3 89, 48, 11, 99
11 89, 16, 11, 33
89, 16, 1, 3

∴ So the LCM of the given numbers is 3 x 11 x 89 x 16 x 1 x 3 = 140976

Least Common Multiple of 89,48,11,99 with GCF Formula

Least Common Multiple of 89,48,11,99 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 89,48,11,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,48,11,99) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(89,48,11,99) x common factors =1 x 33 = 33

LCM(89,48,11,99) = ( 89 × 48 × 11 × 99 ) / 33

LCM(89,48,11,99) = 4652208 / 33

LCM(89,48,11,99) = 140976


Lets's calculate GCF of 58,42,46,198

2 58, 42, 46, 198
29, 21, 23, 99

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140976/2

Therefore the LCM of Fractions 89/58,48/42,11/46,99/198 is 70488

Greatest Common Factor of 58,42,46,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,42,46,198 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 58,42,46,198 . The biggest common factor number is the GCF number.
So the greatest common factor 58,42,46,198 is 2.


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 89/58, 48/42, 11/46, 99/198

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 89/58, 48/42, 11/46, 99/198?

Answer: LCM of Numerators as per given numbers 89/58, 48/42, 11/46, 99/198 is

LCM of Numerators i.e. for 89,48,11,99 is 140976

GCF of denominators i.e. for 58,42,46,198 is 2.

Thus, LCM of Fractions is 70488.Finally, LCM of Fractions for 89/58, 48/42, 11/46, 99/198 is 70488.