Least Common Multiple of 817/255, 430/648, 421/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 817/255, 430/648, 421/782 quickly i.e. 3439570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 817/255, 430/648, 421/782 is 3439570.

LCM(817/255, 430/648, 421/782) = 3439570

LCM of 817/255, 430/648, 421/782

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 817/255,430/648,421/782

Given numbers are 817/255,430/648,421/782

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 817,430,421

Least Common Multiple of Numerators i.e. LCM of 817,430,421 is 3439570.

GCF of Denominators means GCF of 255,648,782 as per the given fractions.

GCF of 255,648,782 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 817,430,421

LCM of Fractions 817/255,430/648,421/782 is 3439570

43 817, 430, 421
19, 10, 421

∴ So the LCM of the given numbers is 43 x 19 x 10 x 421 = 3439570

Least Common Multiple of 817,430,421 with GCF Formula

Least Common Multiple of 817,430,421 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 817,430,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,430,421) = 1

common factors(in case of two or more numbers have common factors) = 43

GCF(817,430,421) x common factors =1 x 43 = 43

LCM(817,430,421) = ( 817 × 430 × 421 ) / 43

LCM(817,430,421) = 147901510 / 43

LCM(817,430,421) = 3439570


Lets's calculate GCF of 255,648,782

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3439570/1

Therefore the LCM of Fractions 817/255,430/648,421/782 is 3439570

Greatest Common Factor of 255,648,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,648,782 By Matching Biggest Common Factor Method

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 255,648,782 . The biggest common factor number is the GCF number.
So the greatest common factor 255,648,782 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 817/255, 430/648, 421/782

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 817/255, 430/648, 421/782?

Answer: LCM of Numerators as per given numbers 817/255, 430/648, 421/782 is

LCM of Numerators i.e. for 817,430,421 is 3439570

GCF of denominators i.e. for 255,648,782 is 1.

Thus, LCM of Fractions is 3439570.Finally, LCM of Fractions for 817/255, 430/648, 421/782 is 3439570.