Least Common Multiple of 847/76, 396/4914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 847/76, 396/4914 quickly i.e. 15246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 847/76, 396/4914 is 15246.

LCM(847/76, 396/4914) = 15246

LCM of 847/76, 396/4914

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 847/76,396/4914

Given numbers are 847/76,396/4914

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 847,396

Least Common Multiple of Numerators i.e. LCM of 847,396 is 30492.

GCF of Denominators means GCF of 76,4914 as per the given fractions.

GCF of 76,4914 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 847,396

LCM of Fractions 847/76,396/4914 is 15246

11 847, 396
77, 36

∴ So the LCM of the given numbers is 11 x 77 x 36 = 30492

Least Common Multiple of 847,396 with GCF Formula

Least Common Multiple of 847,396 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 847,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(847,396) = 11

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

GCF(847,396) x common factors =11 x 1 = 11

LCM(847,396) = ( 847 × 396 ) / 11

LCM(847,396) = 335412 / 11

LCM(847,396) = 30492


Lets's calculate GCF of 76,4914

2 76, 4914
38, 2457

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30492/2

Therefore the LCM of Fractions 847/76,396/4914 is 15246

Greatest Common Factor of 76,4914 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,4914 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 4914

List of positive integer factors of 4914 that divides 4914 without a remainder.

1,2,3,6,7,9,13,14,18,21,26,27,39,42,54,63,78,91,117,126,182,189,234,273,351,378,546,702,819,1638,2457,4914

Greatest Common Factor

We found the factors 76,4914 . The biggest common factor number is the GCF number.
So the greatest common factor 76,4914 is 2.


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 847/76, 396/4914

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 847/76, 396/4914?

Answer: LCM of Numerators as per given numbers 847/76, 396/4914 is

LCM of Numerators i.e. for 847,396 is 30492

GCF of denominators i.e. for 76,4914 is 2.

Thus, LCM of Fractions is 15246.Finally, LCM of Fractions for 847/76, 396/4914 is 15246.