Least Common Multiple of 205/67, 105/21, 776/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 205/67, 105/21, 776/193 quickly i.e. 3340680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 205/67, 105/21, 776/193 is 3340680.

LCM(205/67, 105/21, 776/193) = 3340680

LCM of 205/67, 105/21, 776/193

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 205/67,105/21,776/193

Given numbers are 205/67,105/21,776/193

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 205,105,776

Least Common Multiple of Numerators i.e. LCM of 205,105,776 is 3340680.

GCF of Denominators means GCF of 67,21,193 as per the given fractions.

GCF of 67,21,193 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 205,105,776

LCM of Fractions 205/67,105/21,776/193 is 3340680

5 205, 105, 776
41, 21, 776

∴ So the LCM of the given numbers is 5 x 41 x 21 x 776 = 3340680

Least Common Multiple of 205,105,776 with GCF Formula

Least Common Multiple of 205,105,776 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 205,105,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,105,776) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(205,105,776) x common factors =1 x 5 = 5

LCM(205,105,776) = ( 205 × 105 × 776 ) / 5

LCM(205,105,776) = 16703400 / 5

LCM(205,105,776) = 3340680


Lets's calculate GCF of 67,21,193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3340680/1

Therefore the LCM of Fractions 205/67,105/21,776/193 is 3340680

Greatest Common Factor of 67,21,193 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,21,193 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 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Greatest Common Factor

We found the factors 67,21,193 . The biggest common factor number is the GCF number.
So the greatest common factor 67,21,193 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 205/67, 105/21, 776/193

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 205/67, 105/21, 776/193?

Answer: LCM of Numerators as per given numbers 205/67, 105/21, 776/193 is

LCM of Numerators i.e. for 205,105,776 is 3340680

GCF of denominators i.e. for 67,21,193 is 1.

Thus, LCM of Fractions is 3340680.Finally, LCM of Fractions for 205/67, 105/21, 776/193 is 3340680.