Least Common Multiple of 8604/50, 8184/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8604/50, 8184/904 quickly i.e. 2933964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8604/50, 8184/904 is 2933964.

LCM(8604/50, 8184/904) = 2933964

LCM of 8604/50, 8184/904

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 8604/50,8184/904

Given numbers are 8604/50,8184/904

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 8604,8184

Least Common Multiple of Numerators i.e. LCM of 8604,8184 is 5867928.

GCF of Denominators means GCF of 50,904 as per the given fractions.

GCF of 50,904 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8604,8184

LCM of Fractions 8604/50,8184/904 is 2933964

2 8604, 8184
2 4302, 4092
3 2151, 2046
717, 682

∴ So the LCM of the given numbers is 2 x 2 x 3 x 717 x 682 = 5867928

Least Common Multiple of 8604,8184 with GCF Formula

Least Common Multiple of 8604,8184 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 8604,8184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8604,8184) = 12

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

GCF(8604,8184) x common factors =12 x 1 = 12

LCM(8604,8184) = ( 8604 × 8184 ) / 12

LCM(8604,8184) = 70415136 / 12

LCM(8604,8184) = 5867928


Lets's calculate GCF of 50,904

2 50, 904
25, 452

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5867928/2

Therefore the LCM of Fractions 8604/50,8184/904 is 2933964

Greatest Common Factor of 50,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,904 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 50,904 . The biggest common factor number is the GCF number.
So the greatest common factor 50,904 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8604/50, 8184/904

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 8604/50, 8184/904?

Answer: LCM of Numerators as per given numbers 8604/50, 8184/904 is

LCM of Numerators i.e. for 8604,8184 is 5867928

GCF of denominators i.e. for 50,904 is 2.

Thus, LCM of Fractions is 2933964.Finally, LCM of Fractions for 8604/50, 8184/904 is 2933964.