Least Common Multiple of 847/61, 594/69, 213/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 847/61, 594/69, 213/842 quickly i.e. 3247398 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 847/61, 594/69, 213/842 is 3247398.

LCM(847/61, 594/69, 213/842) = 3247398

LCM of 847/61, 594/69, 213/842

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 847/61,594/69,213/842

Given numbers are 847/61,594/69,213/842

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 847,594,213

Least Common Multiple of Numerators i.e. LCM of 847,594,213 is 3247398.

GCF of Denominators means GCF of 61,69,842 as per the given fractions.

GCF of 61,69,842 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 847,594,213

LCM of Fractions 847/61,594/69,213/842 is 3247398

3 847, 594, 213
11 847, 198, 71
77, 18, 71

∴ So the LCM of the given numbers is 3 x 11 x 77 x 18 x 71 = 3247398

Least Common Multiple of 847,594,213 with GCF Formula

Least Common Multiple of 847,594,213 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 847,594,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(847,594,213) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(847,594,213) x common factors =1 x 33 = 33

LCM(847,594,213) = ( 847 × 594 × 213 ) / 33

LCM(847,594,213) = 107164134 / 33

LCM(847,594,213) = 3247398


Lets's calculate GCF of 61,69,842

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3247398/1

Therefore the LCM of Fractions 847/61,594/69,213/842 is 3247398

Greatest Common Factor of 61,69,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,69,842 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 61,69,842 . The biggest common factor number is the GCF number.
So the greatest common factor 61,69,842 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 847/61, 594/69, 213/842

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 847/61, 594/69, 213/842?

Answer: LCM of Numerators as per given numbers 847/61, 594/69, 213/842 is

LCM of Numerators i.e. for 847,594,213 is 3247398

GCF of denominators i.e. for 61,69,842 is 1.

Thus, LCM of Fractions is 3247398.Finally, LCM of Fractions for 847/61, 594/69, 213/842 is 3247398.