Least Common Multiple of 645/83, 378/63, 868/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 645/83, 378/63, 868/697 quickly i.e. 5038740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 645/83, 378/63, 868/697 is 5038740.

LCM(645/83, 378/63, 868/697) = 5038740

LCM of 645/83, 378/63, 868/697

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 645/83,378/63,868/697

Given numbers are 645/83,378/63,868/697

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 645,378,868

Least Common Multiple of Numerators i.e. LCM of 645,378,868 is 5038740.

GCF of Denominators means GCF of 83,63,697 as per the given fractions.

GCF of 83,63,697 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 645,378,868

LCM of Fractions 645/83,378/63,868/697 is 5038740

2 645, 378, 868
3 645, 189, 434
7 215, 63, 434
215, 9, 62

∴ So the LCM of the given numbers is 2 x 3 x 7 x 215 x 9 x 62 = 5038740

Least Common Multiple of 645,378,868 with GCF Formula

Least Common Multiple of 645,378,868 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 645,378,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,378,868) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(645,378,868) x common factors =1 x 42 = 42

LCM(645,378,868) = ( 645 × 378 × 868 ) / 42

LCM(645,378,868) = 211627080 / 42

LCM(645,378,868) = 5038740


Lets's calculate GCF of 83,63,697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5038740/1

Therefore the LCM of Fractions 645/83,378/63,868/697 is 5038740

Greatest Common Factor of 83,63,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,63,697 By Matching Biggest Common Factor Method

Factors of 83

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

1,83

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 83,63,697 . The biggest common factor number is the GCF number.
So the greatest common factor 83,63,697 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 645/83, 378/63, 868/697

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 645/83, 378/63, 868/697?

Answer: LCM of Numerators as per given numbers 645/83, 378/63, 868/697 is

LCM of Numerators i.e. for 645,378,868 is 5038740

GCF of denominators i.e. for 83,63,697 is 1.

Thus, LCM of Fractions is 5038740.Finally, LCM of Fractions for 645/83, 378/63, 868/697 is 5038740.