Least Common Multiple of 99/87, 88/40, 241/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/87, 88/40, 241/149 quickly i.e. 190872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/87, 88/40, 241/149 is 190872.

LCM(99/87, 88/40, 241/149) = 190872

LCM of 99/87, 88/40, 241/149

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 99/87,88/40,241/149

Given numbers are 99/87,88/40,241/149

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 99,88,241

Least Common Multiple of Numerators i.e. LCM of 99,88,241 is 190872.

GCF of Denominators means GCF of 87,40,149 as per the given fractions.

GCF of 87,40,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,88,241

LCM of Fractions 99/87,88/40,241/149 is 190872

11 99, 88, 241
9, 8, 241

∴ So the LCM of the given numbers is 11 x 9 x 8 x 241 = 190872

Least Common Multiple of 99,88,241 with GCF Formula

Least Common Multiple of 99,88,241 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 99,88,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,88,241) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(99,88,241) x common factors =1 x 11 = 11

LCM(99,88,241) = ( 99 × 88 × 241 ) / 11

LCM(99,88,241) = 2099592 / 11

LCM(99,88,241) = 190872


Lets's calculate GCF of 87,40,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190872/1

Therefore the LCM of Fractions 99/87,88/40,241/149 is 190872

Greatest Common Factor of 87,40,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,40,149 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 40

List of positive integer factors of 40 that divides 40 without a remainder.

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

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 87,40,149 . The biggest common factor number is the GCF number.
So the greatest common factor 87,40,149 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 99/87, 88/40, 241/149

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 99/87, 88/40, 241/149?

Answer: LCM of Numerators as per given numbers 99/87, 88/40, 241/149 is

LCM of Numerators i.e. for 99,88,241 is 190872

GCF of denominators i.e. for 87,40,149 is 1.

Thus, LCM of Fractions is 190872.Finally, LCM of Fractions for 99/87, 88/40, 241/149 is 190872.