Least Common Multiple of 819/34, 609/77, 743/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 819/34, 609/77, 743/302 quickly i.e. 17646993 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 819/34, 609/77, 743/302 is 17646993.

LCM(819/34, 609/77, 743/302) = 17646993

LCM of 819/34, 609/77, 743/302

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 819/34,609/77,743/302

Given numbers are 819/34,609/77,743/302

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 819,609,743

Least Common Multiple of Numerators i.e. LCM of 819,609,743 is 17646993.

GCF of Denominators means GCF of 34,77,302 as per the given fractions.

GCF of 34,77,302 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 819,609,743

LCM of Fractions 819/34,609/77,743/302 is 17646993

3 819, 609, 743
7 273, 203, 743
39, 29, 743

∴ So the LCM of the given numbers is 3 x 7 x 39 x 29 x 743 = 17646993

Least Common Multiple of 819,609,743 with GCF Formula

Least Common Multiple of 819,609,743 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 819,609,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,609,743) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(819,609,743) x common factors =1 x 21 = 21

LCM(819,609,743) = ( 819 × 609 × 743 ) / 21

LCM(819,609,743) = 370586853 / 21

LCM(819,609,743) = 17646993


Lets's calculate GCF of 34,77,302

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17646993/1

Therefore the LCM of Fractions 819/34,609/77,743/302 is 17646993

Greatest Common Factor of 34,77,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,77,302 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 34,77,302 . The biggest common factor number is the GCF number.
So the greatest common factor 34,77,302 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 819/34, 609/77, 743/302

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 819/34, 609/77, 743/302?

Answer: LCM of Numerators as per given numbers 819/34, 609/77, 743/302 is

LCM of Numerators i.e. for 819,609,743 is 17646993

GCF of denominators i.e. for 34,77,302 is 1.

Thus, LCM of Fractions is 17646993.Finally, LCM of Fractions for 819/34, 609/77, 743/302 is 17646993.