Least Common Multiple of 67/793, 661/265, 398/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/793, 661/265, 398/645 quickly i.e. 17626226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/793, 661/265, 398/645 is 17626226.

LCM(67/793, 661/265, 398/645) = 17626226

LCM of 67/793, 661/265, 398/645

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 67/793,661/265,398/645

Given numbers are 67/793,661/265,398/645

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 67,661,398

Least Common Multiple of Numerators i.e. LCM of 67,661,398 is 17626226.

GCF of Denominators means GCF of 793,265,645 as per the given fractions.

GCF of 793,265,645 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,661,398

LCM of Fractions 67/793,661/265,398/645 is 17626226

Given numbers has no common factors except 1. So, there LCM is their product i.e 17626226

Least Common Multiple of 67,661,398 with GCF Formula

Least Common Multiple of 67,661,398 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 67,661,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,661,398) = 1

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

GCF(67,661,398) x common factors =1 x 1 = 1

LCM(67,661,398) = ( 67 × 661 × 398 ) / 1

LCM(67,661,398) = 17626226 / 1

LCM(67,661,398) = 17626226


Lets's calculate GCF of 793,265,645

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17626226/1

Therefore the LCM of Fractions 67/793,661/265,398/645 is 17626226

Greatest Common Factor of 793,265,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 793,265,645 By Matching Biggest Common Factor Method

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 645

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

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

Greatest Common Factor

We found the factors 793,265,645 . The biggest common factor number is the GCF number.
So the greatest common factor 793,265,645 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 67/793, 661/265, 398/645

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 67/793, 661/265, 398/645?

Answer: LCM of Numerators as per given numbers 67/793, 661/265, 398/645 is

LCM of Numerators i.e. for 67,661,398 is 17626226

GCF of denominators i.e. for 793,265,645 is 1.

Thus, LCM of Fractions is 17626226.Finally, LCM of Fractions for 67/793, 661/265, 398/645 is 17626226.