Least Common Multiple of 65/59, 10/97, 50/24, 32/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/59, 10/97, 50/24, 32/366 quickly i.e. 10400 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, 10/97, 50/24, 32/366 is 10400.

LCM(65/59, 10/97, 50/24, 32/366) = 10400

LCM of 65/59, 10/97, 50/24, 32/366

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 65/59,10/97,50/24,32/366

Given numbers are 65/59,10/97,50/24,32/366

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 65,10,50,32

Least Common Multiple of Numerators i.e. LCM of 65,10,50,32 is 10400.

GCF of Denominators means GCF of 59,97,24,366 as per the given fractions.

GCF of 59,97,24,366 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,10,50,32

LCM of Fractions 65/59,10/97,50/24,32/366 is 10400

2 65, 10, 50, 32
5 65, 5, 25, 16
13, 1, 5, 16

∴ So the LCM of the given numbers is 2 x 5 x 13 x 1 x 5 x 16 = 10400

Least Common Multiple of 65,10,50,32 with GCF Formula

Least Common Multiple of 65,10,50,32 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 65,10,50,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,10,50,32) = 1

common factors(in case of two or more numbers have common factors) = 100

GCF(65,10,50,32) x common factors =1 x 100 = 100

LCM(65,10,50,32) = ( 65 × 10 × 50 × 32 ) / 100

LCM(65,10,50,32) = 1040000 / 100

LCM(65,10,50,32) = 10400


Lets's calculate GCF of 59,97,24,366

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10400/1

Therefore the LCM of Fractions 65/59,10/97,50/24,32/366 is 10400

Greatest Common Factor of 59,97,24,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,97,24,366 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 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

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 59,97,24,366 . The biggest common factor number is the GCF number.
So the greatest common factor 59,97,24,366 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 65/59, 10/97, 50/24, 32/366

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 65/59, 10/97, 50/24, 32/366?

Answer: LCM of Numerators as per given numbers 65/59, 10/97, 50/24, 32/366 is

LCM of Numerators i.e. for 65,10,50,32 is 10400

GCF of denominators i.e. for 59,97,24,366 is 1.

Thus, LCM of Fractions is 10400.Finally, LCM of Fractions for 65/59, 10/97, 50/24, 32/366 is 10400.