Least Common Multiple of 707/67, 491/32, 191/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 707/67, 491/32, 191/643 quickly i.e. 66303167 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 707/67, 491/32, 191/643 is 66303167.

LCM(707/67, 491/32, 191/643) = 66303167

LCM of 707/67, 491/32, 191/643

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 707/67,491/32,191/643

Given numbers are 707/67,491/32,191/643

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 707,491,191

Least Common Multiple of Numerators i.e. LCM of 707,491,191 is 66303167.

GCF of Denominators means GCF of 67,32,643 as per the given fractions.

GCF of 67,32,643 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 707,491,191

LCM of Fractions 707/67,491/32,191/643 is 66303167

Given numbers has no common factors except 1. So, there LCM is their product i.e 66303167

Least Common Multiple of 707,491,191 with GCF Formula

Least Common Multiple of 707,491,191 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 707,491,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(707,491,191) = 1

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

GCF(707,491,191) x common factors =1 x 1 = 1

LCM(707,491,191) = ( 707 × 491 × 191 ) / 1

LCM(707,491,191) = 66303167 / 1

LCM(707,491,191) = 66303167


Lets's calculate GCF of 67,32,643

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66303167/1

Therefore the LCM of Fractions 707/67,491/32,191/643 is 66303167

Greatest Common Factor of 67,32,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,32,643 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Greatest Common Factor

We found the factors 67,32,643 . The biggest common factor number is the GCF number.
So the greatest common factor 67,32,643 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 707/67, 491/32, 191/643

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 707/67, 491/32, 191/643?

Answer: LCM of Numerators as per given numbers 707/67, 491/32, 191/643 is

LCM of Numerators i.e. for 707,491,191 is 66303167

GCF of denominators i.e. for 67,32,643 is 1.

Thus, LCM of Fractions is 66303167.Finally, LCM of Fractions for 707/67, 491/32, 191/643 is 66303167.