Least Common Multiple of 782/16, 319/39, 136/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 782/16, 319/39, 136/675 quickly i.e. 997832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 782/16, 319/39, 136/675 is 997832.

LCM(782/16, 319/39, 136/675) = 997832

LCM of 782/16, 319/39, 136/675

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 782/16,319/39,136/675

Given numbers are 782/16,319/39,136/675

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 782,319,136

Least Common Multiple of Numerators i.e. LCM of 782,319,136 is 997832.

GCF of Denominators means GCF of 16,39,675 as per the given fractions.

GCF of 16,39,675 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 782,319,136

LCM of Fractions 782/16,319/39,136/675 is 997832

2 782, 319, 136
17 391, 319, 68
23, 319, 4

∴ So the LCM of the given numbers is 2 x 17 x 23 x 319 x 4 = 997832

Least Common Multiple of 782,319,136 with GCF Formula

Least Common Multiple of 782,319,136 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 782,319,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,319,136) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(782,319,136) x common factors =1 x 34 = 34

LCM(782,319,136) = ( 782 × 319 × 136 ) / 34

LCM(782,319,136) = 33926288 / 34

LCM(782,319,136) = 997832


Lets's calculate GCF of 16,39,675

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 997832/1

Therefore the LCM of Fractions 782/16,319/39,136/675 is 997832

Greatest Common Factor of 16,39,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,39,675 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 16,39,675 . The biggest common factor number is the GCF number.
So the greatest common factor 16,39,675 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 782/16, 319/39, 136/675

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 782/16, 319/39, 136/675?

Answer: LCM of Numerators as per given numbers 782/16, 319/39, 136/675 is

LCM of Numerators i.e. for 782,319,136 is 997832

GCF of denominators i.e. for 16,39,675 is 1.

Thus, LCM of Fractions is 997832.Finally, LCM of Fractions for 782/16, 319/39, 136/675 is 997832.