Least Common Multiple of 65/10, 68/55, 96/49, 18/14

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/10, 68/55, 96/49, 18/14 quickly i.e. 318240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/10, 68/55, 96/49, 18/14 is 318240.

LCM(65/10, 68/55, 96/49, 18/14) = 318240

LCM of 65/10, 68/55, 96/49, 18/14

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 65/10,68/55,96/49,18/14

Given numbers are 65/10,68/55,96/49,18/14

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 65,68,96,18

Least Common Multiple of Numerators i.e. LCM of 65,68,96,18 is 318240.

GCF of Denominators means GCF of 10,55,49,14 as per the given fractions.

GCF of 10,55,49,14 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,68,96,18

LCM of Fractions 65/10,68/55,96/49,18/14 is 318240

2 65, 68, 96, 18
2 65, 34, 48, 9
3 65, 17, 24, 9
65, 17, 8, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 65 x 17 x 8 x 3 = 318240

Least Common Multiple of 65,68,96,18 with GCF Formula

Least Common Multiple of 65,68,96,18 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 65,68,96,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,68,96,18) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(65,68,96,18) x common factors =1 x 24 = 24

LCM(65,68,96,18) = ( 65 × 68 × 96 × 18 ) / 24

LCM(65,68,96,18) = 7637760 / 24

LCM(65,68,96,18) = 318240


Lets's calculate GCF of 10,55,49,14

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 318240/1

Therefore the LCM of Fractions 65/10,68/55,96/49,18/14 is 318240

Greatest Common Factor of 10,55,49,14 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,55,49,14 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Greatest Common Factor

We found the factors 10,55,49,14 . The biggest common factor number is the GCF number.
So the greatest common factor 10,55,49,14 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 65/10, 68/55, 96/49, 18/14

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 65/10, 68/55, 96/49, 18/14?

Answer: LCM of Numerators as per given numbers 65/10, 68/55, 96/49, 18/14 is

LCM of Numerators i.e. for 65,68,96,18 is 318240

GCF of denominators i.e. for 10,55,49,14 is 1.

Thus, LCM of Fractions is 318240.Finally, LCM of Fractions for 65/10, 68/55, 96/49, 18/14 is 318240.