Least Common Multiple of 65/882, 299/307, 235/884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 65/882, 299/307, 235/884 quickly i.e. 70265 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/882, 299/307, 235/884 is 70265.

LCM(65/882, 299/307, 235/884) = 70265

LCM of 65/882, 299/307, 235/884

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 65/882,299/307,235/884

Given numbers are 65/882,299/307,235/884

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 65,299,235

Least Common Multiple of Numerators i.e. LCM of 65,299,235 is 70265.

GCF of Denominators means GCF of 882,307,884 as per the given fractions.

GCF of 882,307,884 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,299,235

LCM of Fractions 65/882,299/307,235/884 is 70265

5 65, 299, 235
13 13, 299, 47
1, 23, 47

∴ So the LCM of the given numbers is 5 x 13 x 1 x 23 x 47 = 70265

Least Common Multiple of 65,299,235 with GCF Formula

Least Common Multiple of 65,299,235 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 65,299,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,299,235) = 1

common factors(in case of two or more numbers have common factors) = 65

GCF(65,299,235) x common factors =1 x 65 = 65

LCM(65,299,235) = ( 65 × 299 × 235 ) / 65

LCM(65,299,235) = 4567225 / 65

LCM(65,299,235) = 70265


Lets's calculate GCF of 882,307,884

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70265/1

Therefore the LCM of Fractions 65/882,299/307,235/884 is 70265

Greatest Common Factor of 882,307,884 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,307,884 By Matching Biggest Common Factor Method

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Greatest Common Factor

We found the factors 882,307,884 . The biggest common factor number is the GCF number.
So the greatest common factor 882,307,884 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 65/882, 299/307, 235/884

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 65/882, 299/307, 235/884?

Answer: LCM of Numerators as per given numbers 65/882, 299/307, 235/884 is

LCM of Numerators i.e. for 65,299,235 is 70265

GCF of denominators i.e. for 882,307,884 is 1.

Thus, LCM of Fractions is 70265.Finally, LCM of Fractions for 65/882, 299/307, 235/884 is 70265.