Least Common Multiple of 783/82, 646/83, 153/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 783/82, 646/83, 153/794 quickly i.e. 505818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 783/82, 646/83, 153/794 is 505818.

LCM(783/82, 646/83, 153/794) = 505818

LCM of 783/82, 646/83, 153/794

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 783/82,646/83,153/794

Given numbers are 783/82,646/83,153/794

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 783,646,153

Least Common Multiple of Numerators i.e. LCM of 783,646,153 is 505818.

GCF of Denominators means GCF of 82,83,794 as per the given fractions.

GCF of 82,83,794 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 783,646,153

LCM of Fractions 783/82,646/83,153/794 is 505818

3 783, 646, 153
3 261, 646, 51
17 87, 646, 17
87, 38, 1

∴ So the LCM of the given numbers is 3 x 3 x 17 x 87 x 38 x 1 = 505818

Least Common Multiple of 783,646,153 with GCF Formula

Least Common Multiple of 783,646,153 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 783,646,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(783,646,153) = 1

common factors(in case of two or more numbers have common factors) = 153

GCF(783,646,153) x common factors =1 x 153 = 153

LCM(783,646,153) = ( 783 × 646 × 153 ) / 153

LCM(783,646,153) = 77390154 / 153

LCM(783,646,153) = 505818


Lets's calculate GCF of 82,83,794

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 505818/1

Therefore the LCM of Fractions 783/82,646/83,153/794 is 505818

Greatest Common Factor of 82,83,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,83,794 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 82,83,794 . The biggest common factor number is the GCF number.
So the greatest common factor 82,83,794 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 783/82, 646/83, 153/794

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 783/82, 646/83, 153/794?

Answer: LCM of Numerators as per given numbers 783/82, 646/83, 153/794 is

LCM of Numerators i.e. for 783,646,153 is 505818

GCF of denominators i.e. for 82,83,794 is 1.

Thus, LCM of Fractions is 505818.Finally, LCM of Fractions for 783/82, 646/83, 153/794 is 505818.