Least Common Multiple of 68/645, 786/382, 795/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/645, 786/382, 795/825 quickly i.e. 7081860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/645, 786/382, 795/825 is 7081860.

LCM(68/645, 786/382, 795/825) = 7081860

LCM of 68/645, 786/382, 795/825

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 68/645,786/382,795/825

Given numbers are 68/645,786/382,795/825

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 68,786,795

Least Common Multiple of Numerators i.e. LCM of 68,786,795 is 7081860.

GCF of Denominators means GCF of 645,382,825 as per the given fractions.

GCF of 645,382,825 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,786,795

LCM of Fractions 68/645,786/382,795/825 is 7081860

2 68, 786, 795
3 34, 393, 795
34, 131, 265

∴ So the LCM of the given numbers is 2 x 3 x 34 x 131 x 265 = 7081860

Least Common Multiple of 68,786,795 with GCF Formula

Least Common Multiple of 68,786,795 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 68,786,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,786,795) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(68,786,795) x common factors =1 x 6 = 6

LCM(68,786,795) = ( 68 × 786 × 795 ) / 6

LCM(68,786,795) = 42491160 / 6

LCM(68,786,795) = 7081860


Lets's calculate GCF of 645,382,825

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7081860/1

Therefore the LCM of Fractions 68/645,786/382,795/825 is 7081860

Greatest Common Factor of 645,382,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,382,825 By Matching Biggest Common Factor Method

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 645,382,825 . The biggest common factor number is the GCF number.
So the greatest common factor 645,382,825 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 68/645, 786/382, 795/825

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 68/645, 786/382, 795/825?

Answer: LCM of Numerators as per given numbers 68/645, 786/382, 795/825 is

LCM of Numerators i.e. for 68,786,795 is 7081860

GCF of denominators i.e. for 645,382,825 is 1.

Thus, LCM of Fractions is 7081860.Finally, LCM of Fractions for 68/645, 786/382, 795/825 is 7081860.