Least Common Multiple of 65/59, 67/72, 41/17, 68/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/59, 67/72, 41/17, 68/143 quickly i.e. 12141740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/59, 67/72, 41/17, 68/143 is 12141740.

LCM(65/59, 67/72, 41/17, 68/143) = 12141740

LCM of 65/59, 67/72, 41/17, 68/143

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 65/59,67/72,41/17,68/143

Given numbers are 65/59,67/72,41/17,68/143

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 65,67,41,68

Least Common Multiple of Numerators i.e. LCM of 65,67,41,68 is 12141740.

GCF of Denominators means GCF of 59,72,17,143 as per the given fractions.

GCF of 59,72,17,143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,67,41,68

LCM of Fractions 65/59,67/72,41/17,68/143 is 12141740

Given numbers has no common factors except 1. So, there LCM is their product i.e 12141740

Least Common Multiple of 65,67,41,68 with GCF Formula

Least Common Multiple of 65,67,41,68 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 65,67,41,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,67,41,68) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(65,67,41,68) x common factors =1 x 1 = 1

LCM(65,67,41,68) = ( 65 × 67 × 41 × 68 ) / 1

LCM(65,67,41,68) = 12141740 / 1

LCM(65,67,41,68) = 12141740


Lets's calculate GCF of 59,72,17,143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12141740/1

Therefore the LCM of Fractions 65/59,67/72,41/17,68/143 is 12141740

Greatest Common Factor of 59,72,17,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,72,17,143 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 59,72,17,143 . The biggest common factor number is the GCF number.
So the greatest common factor 59,72,17,143 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 65/59, 67/72, 41/17, 68/143

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 65/59, 67/72, 41/17, 68/143?

Answer: LCM of Numerators as per given numbers 65/59, 67/72, 41/17, 68/143 is

LCM of Numerators i.e. for 65,67,41,68 is 12141740

GCF of denominators i.e. for 59,72,17,143 is 1.

Thus, LCM of Fractions is 12141740.Finally, LCM of Fractions for 65/59, 67/72, 41/17, 68/143 is 12141740.