Least Common Multiple of 99/429, 65/567, 235/283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/429, 65/567, 235/283 quickly i.e. 302445 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/429, 65/567, 235/283 is 302445.

LCM(99/429, 65/567, 235/283) = 302445

LCM of 99/429, 65/567, 235/283

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 99/429,65/567,235/283

Given numbers are 99/429,65/567,235/283

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 99,65,235

Least Common Multiple of Numerators i.e. LCM of 99,65,235 is 302445.

GCF of Denominators means GCF of 429,567,283 as per the given fractions.

GCF of 429,567,283 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,65,235

LCM of Fractions 99/429,65/567,235/283 is 302445

5 99, 65, 235
99, 13, 47

∴ So the LCM of the given numbers is 5 x 99 x 13 x 47 = 302445

Least Common Multiple of 99,65,235 with GCF Formula

Least Common Multiple of 99,65,235 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 99,65,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,65,235) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(99,65,235) x common factors =1 x 5 = 5

LCM(99,65,235) = ( 99 × 65 × 235 ) / 5

LCM(99,65,235) = 1512225 / 5

LCM(99,65,235) = 302445


Lets's calculate GCF of 429,567,283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 302445/1

Therefore the LCM of Fractions 99/429,65/567,235/283 is 302445

Greatest Common Factor of 429,567,283 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,567,283 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Greatest Common Factor

We found the factors 429,567,283 . The biggest common factor number is the GCF number.
So the greatest common factor 429,567,283 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 99/429, 65/567, 235/283

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 99/429, 65/567, 235/283?

Answer: LCM of Numerators as per given numbers 99/429, 65/567, 235/283 is

LCM of Numerators i.e. for 99,65,235 is 302445

GCF of denominators i.e. for 429,567,283 is 1.

Thus, LCM of Fractions is 302445.Finally, LCM of Fractions for 99/429, 65/567, 235/283 is 302445.