Least Common Multiple of 99/270, 15/133, 284/151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/270, 15/133, 284/151 quickly i.e. 140580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/270, 15/133, 284/151 is 140580.

LCM(99/270, 15/133, 284/151) = 140580

LCM of 99/270, 15/133, 284/151

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 99/270,15/133,284/151

Given numbers are 99/270,15/133,284/151

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 99,15,284

Least Common Multiple of Numerators i.e. LCM of 99,15,284 is 140580.

GCF of Denominators means GCF of 270,133,151 as per the given fractions.

GCF of 270,133,151 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,15,284

LCM of Fractions 99/270,15/133,284/151 is 140580

3 99, 15, 284
33, 5, 284

∴ So the LCM of the given numbers is 3 x 33 x 5 x 284 = 140580

Least Common Multiple of 99,15,284 with GCF Formula

Least Common Multiple of 99,15,284 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 99,15,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,15,284) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(99,15,284) x common factors =1 x 3 = 3

LCM(99,15,284) = ( 99 × 15 × 284 ) / 3

LCM(99,15,284) = 421740 / 3

LCM(99,15,284) = 140580


Lets's calculate GCF of 270,133,151

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140580/1

Therefore the LCM of Fractions 99/270,15/133,284/151 is 140580

Greatest Common Factor of 270,133,151 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,133,151 By Matching Biggest Common Factor Method

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Greatest Common Factor

We found the factors 270,133,151 . The biggest common factor number is the GCF number.
So the greatest common factor 270,133,151 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 99/270, 15/133, 284/151

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 99/270, 15/133, 284/151?

Answer: LCM of Numerators as per given numbers 99/270, 15/133, 284/151 is

LCM of Numerators i.e. for 99,15,284 is 140580

GCF of denominators i.e. for 270,133,151 is 1.

Thus, LCM of Fractions is 140580.Finally, LCM of Fractions for 99/270, 15/133, 284/151 is 140580.