Least Common Multiple of 8047/120, 9204/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8047/120, 9204/836 quickly i.e. 1424319 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8047/120, 9204/836 is 1424319.

LCM(8047/120, 9204/836) = 1424319

LCM of 8047/120, 9204/836

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 8047/120,9204/836

Given numbers are 8047/120,9204/836

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 8047,9204

Least Common Multiple of Numerators i.e. LCM of 8047,9204 is 5697276.

GCF of Denominators means GCF of 120,836 as per the given fractions.

GCF of 120,836 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8047,9204

LCM of Fractions 8047/120,9204/836 is 1424319

13 8047, 9204
619, 708

∴ So the LCM of the given numbers is 13 x 619 x 708 = 5697276

Least Common Multiple of 8047,9204 with GCF Formula

Least Common Multiple of 8047,9204 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 8047,9204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8047,9204) = 13

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

GCF(8047,9204) x common factors =13 x 1 = 13

LCM(8047,9204) = ( 8047 × 9204 ) / 13

LCM(8047,9204) = 74064588 / 13

LCM(8047,9204) = 5697276


Lets's calculate GCF of 120,836

2 120, 836
2 60, 418
30, 209

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5697276/4

Therefore the LCM of Fractions 8047/120,9204/836 is 1424319

Greatest Common Factor of 120,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,836 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 120,836 . The biggest common factor number is the GCF number.
So the greatest common factor 120,836 is 4.


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 8047/120, 9204/836

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 8047/120, 9204/836?

Answer: LCM of Numerators as per given numbers 8047/120, 9204/836 is

LCM of Numerators i.e. for 8047,9204 is 5697276

GCF of denominators i.e. for 120,836 is 4.

Thus, LCM of Fractions is 1424319.Finally, LCM of Fractions for 8047/120, 9204/836 is 1424319.