Least Common Multiple of 677/78, 593/17, 100/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 677/78, 593/17, 100/621 quickly i.e. 40146100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 677/78, 593/17, 100/621 is 40146100.

LCM(677/78, 593/17, 100/621) = 40146100

LCM of 677/78, 593/17, 100/621

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 677/78,593/17,100/621

Given numbers are 677/78,593/17,100/621

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 677,593,100

Least Common Multiple of Numerators i.e. LCM of 677,593,100 is 40146100.

GCF of Denominators means GCF of 78,17,621 as per the given fractions.

GCF of 78,17,621 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 677,593,100

LCM of Fractions 677/78,593/17,100/621 is 40146100

Given numbers has no common factors except 1. So, there LCM is their product i.e 40146100

Least Common Multiple of 677,593,100 with GCF Formula

Least Common Multiple of 677,593,100 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 677,593,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,593,100) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(677,593,100) x common factors =1 x 1 = 1

LCM(677,593,100) = ( 677 × 593 × 100 ) / 1

LCM(677,593,100) = 40146100 / 1

LCM(677,593,100) = 40146100


Lets's calculate GCF of 78,17,621

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40146100/1

Therefore the LCM of Fractions 677/78,593/17,100/621 is 40146100

Greatest Common Factor of 78,17,621 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,17,621 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Greatest Common Factor

We found the factors 78,17,621 . The biggest common factor number is the GCF number.
So the greatest common factor 78,17,621 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 677/78, 593/17, 100/621

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 677/78, 593/17, 100/621?

Answer: LCM of Numerators as per given numbers 677/78, 593/17, 100/621 is

LCM of Numerators i.e. for 677,593,100 is 40146100

GCF of denominators i.e. for 78,17,621 is 1.

Thus, LCM of Fractions is 40146100.Finally, LCM of Fractions for 677/78, 593/17, 100/621 is 40146100.