Least Common Multiple of 65/15, 35/31, 21/70, 42/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/15, 35/31, 21/70, 42/366 quickly i.e. 2730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/15, 35/31, 21/70, 42/366 is 2730.

LCM(65/15, 35/31, 21/70, 42/366) = 2730

LCM of 65/15, 35/31, 21/70, 42/366

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 65/15,35/31,21/70,42/366

Given numbers are 65/15,35/31,21/70,42/366

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 65,35,21,42

Least Common Multiple of Numerators i.e. LCM of 65,35,21,42 is 2730.

GCF of Denominators means GCF of 15,31,70,366 as per the given fractions.

GCF of 15,31,70,366 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,35,21,42

LCM of Fractions 65/15,35/31,21/70,42/366 is 2730

3 65, 35, 21, 42
5 65, 35, 7, 14
7 13, 7, 7, 14
13, 1, 1, 2

∴ So the LCM of the given numbers is 3 x 5 x 7 x 13 x 1 x 1 x 2 = 2730

Least Common Multiple of 65,35,21,42 with GCF Formula

Least Common Multiple of 65,35,21,42 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 65,35,21,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,35,21,42) = 1

common factors(in case of two or more numbers have common factors) = 735

GCF(65,35,21,42) x common factors =1 x 735 = 735

LCM(65,35,21,42) = ( 65 × 35 × 21 × 42 ) / 735

LCM(65,35,21,42) = 2006550 / 735

LCM(65,35,21,42) = 2730


Lets's calculate GCF of 15,31,70,366

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2730/1

Therefore the LCM of Fractions 65/15,35/31,21/70,42/366 is 2730

Greatest Common Factor of 15,31,70,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,31,70,366 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 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 15,31,70,366 . The biggest common factor number is the GCF number.
So the greatest common factor 15,31,70,366 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 65/15, 35/31, 21/70, 42/366

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 65/15, 35/31, 21/70, 42/366?

Answer: LCM of Numerators as per given numbers 65/15, 35/31, 21/70, 42/366 is

LCM of Numerators i.e. for 65,35,21,42 is 2730

GCF of denominators i.e. for 15,31,70,366 is 1.

Thus, LCM of Fractions is 2730.Finally, LCM of Fractions for 65/15, 35/31, 21/70, 42/366 is 2730.