Least Common Multiple of 85/53, 50/15, 596/65

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/53, 50/15, 596/65 quickly i.e. 253300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/53, 50/15, 596/65 is 253300.

LCM(85/53, 50/15, 596/65) = 253300

LCM of 85/53, 50/15, 596/65

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 85/53,50/15,596/65

Given numbers are 85/53,50/15,596/65

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 85,50,596

Least Common Multiple of Numerators i.e. LCM of 85,50,596 is 253300.

GCF of Denominators means GCF of 53,15,65 as per the given fractions.

GCF of 53,15,65 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,50,596

LCM of Fractions 85/53,50/15,596/65 is 253300

2 85, 50, 596
5 85, 25, 298
17, 5, 298

∴ So the LCM of the given numbers is 2 x 5 x 17 x 5 x 298 = 253300

Least Common Multiple of 85,50,596 with GCF Formula

Least Common Multiple of 85,50,596 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 85,50,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,50,596) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(85,50,596) x common factors =1 x 10 = 10

LCM(85,50,596) = ( 85 × 50 × 596 ) / 10

LCM(85,50,596) = 2533000 / 10

LCM(85,50,596) = 253300


Lets's calculate GCF of 53,15,65

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 253300/1

Therefore the LCM of Fractions 85/53,50/15,596/65 is 253300

Greatest Common Factor of 53,15,65 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,15,65 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 15

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

1,3,5,15

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Greatest Common Factor

We found the factors 53,15,65 . The biggest common factor number is the GCF number.
So the greatest common factor 53,15,65 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 85/53, 50/15, 596/65

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 85/53, 50/15, 596/65?

Answer: LCM of Numerators as per given numbers 85/53, 50/15, 596/65 is

LCM of Numerators i.e. for 85,50,596 is 253300

GCF of denominators i.e. for 53,15,65 is 1.

Thus, LCM of Fractions is 253300.Finally, LCM of Fractions for 85/53, 50/15, 596/65 is 253300.