Least Common Multiple of 65/347, 10/581, 419/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/347, 10/581, 419/398 quickly i.e. 54470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/347, 10/581, 419/398 is 54470.

LCM(65/347, 10/581, 419/398) = 54470

LCM of 65/347, 10/581, 419/398

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 65/347,10/581,419/398

Given numbers are 65/347,10/581,419/398

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 65,10,419

Least Common Multiple of Numerators i.e. LCM of 65,10,419 is 54470.

GCF of Denominators means GCF of 347,581,398 as per the given fractions.

GCF of 347,581,398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,10,419

LCM of Fractions 65/347,10/581,419/398 is 54470

5 65, 10, 419
13, 2, 419

∴ So the LCM of the given numbers is 5 x 13 x 2 x 419 = 54470

Least Common Multiple of 65,10,419 with GCF Formula

Least Common Multiple of 65,10,419 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 65,10,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,10,419) = 1

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

GCF(65,10,419) x common factors =1 x 5 = 5

LCM(65,10,419) = ( 65 × 10 × 419 ) / 5

LCM(65,10,419) = 272350 / 5

LCM(65,10,419) = 54470


Lets's calculate GCF of 347,581,398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54470/1

Therefore the LCM of Fractions 65/347,10/581,419/398 is 54470

Greatest Common Factor of 347,581,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 347,581,398 By Matching Biggest Common Factor Method

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 347,581,398 . The biggest common factor number is the GCF number.
So the greatest common factor 347,581,398 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 65/347, 10/581, 419/398

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 65/347, 10/581, 419/398?

Answer: LCM of Numerators as per given numbers 65/347, 10/581, 419/398 is

LCM of Numerators i.e. for 65,10,419 is 54470

GCF of denominators i.e. for 347,581,398 is 1.

Thus, LCM of Fractions is 54470.Finally, LCM of Fractions for 65/347, 10/581, 419/398 is 54470.