Least Common Multiple of 94/819, 270/442, 930/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/819, 270/442, 930/704 quickly i.e. 393390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/819, 270/442, 930/704 is 393390.

LCM(94/819, 270/442, 930/704) = 393390

LCM of 94/819, 270/442, 930/704

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 94/819,270/442,930/704

Given numbers are 94/819,270/442,930/704

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 94,270,930

Least Common Multiple of Numerators i.e. LCM of 94,270,930 is 393390.

GCF of Denominators means GCF of 819,442,704 as per the given fractions.

GCF of 819,442,704 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,270,930

LCM of Fractions 94/819,270/442,930/704 is 393390

2 94, 270, 930
3 47, 135, 465
5 47, 45, 155
47, 9, 31

∴ So the LCM of the given numbers is 2 x 3 x 5 x 47 x 9 x 31 = 393390

Least Common Multiple of 94,270,930 with GCF Formula

Least Common Multiple of 94,270,930 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 94,270,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,270,930) = 2

common factors(in case of two or more numbers have common factors) = 30

GCF(94,270,930) x common factors =2 x 30 = 60

LCM(94,270,930) = ( 94 × 270 × 930 ) / 60

LCM(94,270,930) = 23603400 / 60

LCM(94,270,930) = 393390


Lets's calculate GCF of 819,442,704

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 393390/1

Therefore the LCM of Fractions 94/819,270/442,930/704 is 393390

Greatest Common Factor of 819,442,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,442,704 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 819,442,704 . The biggest common factor number is the GCF number.
So the greatest common factor 819,442,704 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 94/819, 270/442, 930/704

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 94/819, 270/442, 930/704?

Answer: LCM of Numerators as per given numbers 94/819, 270/442, 930/704 is

LCM of Numerators i.e. for 94,270,930 is 393390

GCF of denominators i.e. for 819,442,704 is 1.

Thus, LCM of Fractions is 393390.Finally, LCM of Fractions for 94/819, 270/442, 930/704 is 393390.