Least Common Multiple of 809/213, 331/734, 782/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 809/213, 331/734, 782/632 quickly i.e. 209403178 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 809/213, 331/734, 782/632 is 209403178.

LCM(809/213, 331/734, 782/632) = 209403178

LCM of 809/213, 331/734, 782/632

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 809/213,331/734,782/632

Given numbers are 809/213,331/734,782/632

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 809,331,782

Least Common Multiple of Numerators i.e. LCM of 809,331,782 is 209403178.

GCF of Denominators means GCF of 213,734,632 as per the given fractions.

GCF of 213,734,632 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 809,331,782

LCM of Fractions 809/213,331/734,782/632 is 209403178

Given numbers has no common factors except 1. So, there LCM is their product i.e 209403178

Least Common Multiple of 809,331,782 with GCF Formula

Least Common Multiple of 809,331,782 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 809,331,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,331,782) = 1

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

GCF(809,331,782) x common factors =1 x 1 = 1

LCM(809,331,782) = ( 809 × 331 × 782 ) / 1

LCM(809,331,782) = 209403178 / 1

LCM(809,331,782) = 209403178


Lets's calculate GCF of 213,734,632

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209403178/1

Therefore the LCM of Fractions 809/213,331/734,782/632 is 209403178

Greatest Common Factor of 213,734,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,734,632 By Matching Biggest Common Factor Method

Factors of 213

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

1,3,71,213

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 213,734,632 . The biggest common factor number is the GCF number.
So the greatest common factor 213,734,632 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 809/213, 331/734, 782/632

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 809/213, 331/734, 782/632?

Answer: LCM of Numerators as per given numbers 809/213, 331/734, 782/632 is

LCM of Numerators i.e. for 809,331,782 is 209403178

GCF of denominators i.e. for 213,734,632 is 1.

Thus, LCM of Fractions is 209403178.Finally, LCM of Fractions for 809/213, 331/734, 782/632 is 209403178.