Least Common Multiple of 65/268, 414/401, 709/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/268, 414/401, 709/213 quickly i.e. 19079190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/268, 414/401, 709/213 is 19079190.

LCM(65/268, 414/401, 709/213) = 19079190

LCM of 65/268, 414/401, 709/213

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 65/268,414/401,709/213

Given numbers are 65/268,414/401,709/213

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 65,414,709

Least Common Multiple of Numerators i.e. LCM of 65,414,709 is 19079190.

GCF of Denominators means GCF of 268,401,213 as per the given fractions.

GCF of 268,401,213 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,414,709

LCM of Fractions 65/268,414/401,709/213 is 19079190

Given numbers has no common factors except 1. So, there LCM is their product i.e 19079190

Least Common Multiple of 65,414,709 with GCF Formula

Least Common Multiple of 65,414,709 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 65,414,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,414,709) = 1

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

GCF(65,414,709) x common factors =1 x 1 = 1

LCM(65,414,709) = ( 65 × 414 × 709 ) / 1

LCM(65,414,709) = 19079190 / 1

LCM(65,414,709) = 19079190


Lets's calculate GCF of 268,401,213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19079190/1

Therefore the LCM of Fractions 65/268,414/401,709/213 is 19079190

Greatest Common Factor of 268,401,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,401,213 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 268,401,213 . The biggest common factor number is the GCF number.
So the greatest common factor 268,401,213 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 65/268, 414/401, 709/213

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 65/268, 414/401, 709/213?

Answer: LCM of Numerators as per given numbers 65/268, 414/401, 709/213 is

LCM of Numerators i.e. for 65,414,709 is 19079190

GCF of denominators i.e. for 268,401,213 is 1.

Thus, LCM of Fractions is 19079190.Finally, LCM of Fractions for 65/268, 414/401, 709/213 is 19079190.