Least Common Multiple of 35/15, 19/18, 65/36, 11/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/15, 19/18, 65/36, 11/996 quickly i.e. 95095/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/15, 19/18, 65/36, 11/996 is 95095/3.

LCM(35/15, 19/18, 65/36, 11/996) = 95095/3

LCM of 35/15, 19/18, 65/36, 11/996

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 35/15,19/18,65/36,11/996

Given numbers are 35/15,19/18,65/36,11/996

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 35,19,65,11

Least Common Multiple of Numerators i.e. LCM of 35,19,65,11 is 95095.

GCF of Denominators means GCF of 15,18,36,996 as per the given fractions.

GCF of 15,18,36,996 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,19,65,11

LCM of Fractions 35/15,19/18,65/36,11/996 is 95095/3

5 35, 19, 65, 11
7, 19, 13, 11

∴ So the LCM of the given numbers is 5 x 7 x 19 x 13 x 11 = 95095

Least Common Multiple of 35,19,65,11 with GCF Formula

Least Common Multiple of 35,19,65,11 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 35,19,65,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,19,65,11) = 1

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

GCF(35,19,65,11) x common factors =1 x 5 = 5

LCM(35,19,65,11) = ( 35 × 19 × 65 × 11 ) / 5

LCM(35,19,65,11) = 475475 / 5

LCM(35,19,65,11) = 95095


Lets's calculate GCF of 15,18,36,996

3 15, 18, 36, 996
5, 6, 12, 332

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95095/3

Therefore the LCM of Fractions 35/15,19/18,65/36,11/996 is 95095/3

Greatest Common Factor of 15,18,36,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,18,36,996 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 15,18,36,996 . The biggest common factor number is the GCF number.
So the greatest common factor 15,18,36,996 is 3.


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 35/15, 19/18, 65/36, 11/996

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 35/15, 19/18, 65/36, 11/996?

Answer: LCM of Numerators as per given numbers 35/15, 19/18, 65/36, 11/996 is

LCM of Numerators i.e. for 35,19,65,11 is 95095

GCF of denominators i.e. for 15,18,36,996 is 3.

Thus, LCM of Fractions is 95095/3.Finally, LCM of Fractions for 35/15, 19/18, 65/36, 11/996 is 95095/3.