Least Common Multiple of 84/430, 328/821, 704/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/430, 328/821, 704/394 quickly i.e. 606144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/430, 328/821, 704/394 is 606144.

LCM(84/430, 328/821, 704/394) = 606144

LCM of 84/430, 328/821, 704/394

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 84/430,328/821,704/394

Given numbers are 84/430,328/821,704/394

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 84,328,704

Least Common Multiple of Numerators i.e. LCM of 84,328,704 is 606144.

GCF of Denominators means GCF of 430,821,394 as per the given fractions.

GCF of 430,821,394 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,328,704

LCM of Fractions 84/430,328/821,704/394 is 606144

2 84, 328, 704
2 42, 164, 352
2 21, 82, 176
21, 41, 88

∴ So the LCM of the given numbers is 2 x 2 x 2 x 21 x 41 x 88 = 606144

Least Common Multiple of 84,328,704 with GCF Formula

Least Common Multiple of 84,328,704 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 84,328,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,328,704) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(84,328,704) x common factors =4 x 8 = 32

LCM(84,328,704) = ( 84 × 328 × 704 ) / 32

LCM(84,328,704) = 19396608 / 32

LCM(84,328,704) = 606144


Lets's calculate GCF of 430,821,394

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 606144/1

Therefore the LCM of Fractions 84/430,328/821,704/394 is 606144

Greatest Common Factor of 430,821,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,821,394 By Matching Biggest Common Factor Method

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Greatest Common Factor

We found the factors 430,821,394 . The biggest common factor number is the GCF number.
So the greatest common factor 430,821,394 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 84/430, 328/821, 704/394

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 84/430, 328/821, 704/394?

Answer: LCM of Numerators as per given numbers 84/430, 328/821, 704/394 is

LCM of Numerators i.e. for 84,328,704 is 606144

GCF of denominators i.e. for 430,821,394 is 1.

Thus, LCM of Fractions is 606144.Finally, LCM of Fractions for 84/430, 328/821, 704/394 is 606144.