Least Common Multiple of 65/64, 19/60, 42/76, 35/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/64, 19/60, 42/76, 35/289 quickly i.e. 51870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/64, 19/60, 42/76, 35/289 is 51870.

LCM(65/64, 19/60, 42/76, 35/289) = 51870

LCM of 65/64, 19/60, 42/76, 35/289

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 65/64,19/60,42/76,35/289

Given numbers are 65/64,19/60,42/76,35/289

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 65,19,42,35

Least Common Multiple of Numerators i.e. LCM of 65,19,42,35 is 51870.

GCF of Denominators means GCF of 64,60,76,289 as per the given fractions.

GCF of 64,60,76,289 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,19,42,35

LCM of Fractions 65/64,19/60,42/76,35/289 is 51870

5 65, 19, 42, 35
7 13, 19, 42, 7
13, 19, 6, 1

∴ So the LCM of the given numbers is 5 x 7 x 13 x 19 x 6 x 1 = 51870

Least Common Multiple of 65,19,42,35 with GCF Formula

Least Common Multiple of 65,19,42,35 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 65,19,42,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,19,42,35) = 1

common factors(in case of two or more numbers have common factors) = 35

GCF(65,19,42,35) x common factors =1 x 35 = 35

LCM(65,19,42,35) = ( 65 × 19 × 42 × 35 ) / 35

LCM(65,19,42,35) = 1815450 / 35

LCM(65,19,42,35) = 51870


Lets's calculate GCF of 64,60,76,289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51870/1

Therefore the LCM of Fractions 65/64,19/60,42/76,35/289 is 51870

Greatest Common Factor of 64,60,76,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,60,76,289 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 64,60,76,289 . The biggest common factor number is the GCF number.
So the greatest common factor 64,60,76,289 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 65/64, 19/60, 42/76, 35/289

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 65/64, 19/60, 42/76, 35/289?

Answer: LCM of Numerators as per given numbers 65/64, 19/60, 42/76, 35/289 is

LCM of Numerators i.e. for 65,19,42,35 is 51870

GCF of denominators i.e. for 64,60,76,289 is 1.

Thus, LCM of Fractions is 51870.Finally, LCM of Fractions for 65/64, 19/60, 42/76, 35/289 is 51870.