Least Common Multiple of 7879/284, 8220/5404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7879/284, 8220/5404 quickly i.e. 16191345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7879/284, 8220/5404 is 16191345.

LCM(7879/284, 8220/5404) = 16191345

LCM of 7879/284, 8220/5404

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 7879/284,8220/5404

Given numbers are 7879/284,8220/5404

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 7879,8220

Least Common Multiple of Numerators i.e. LCM of 7879,8220 is 64765380.

GCF of Denominators means GCF of 284,5404 as per the given fractions.

GCF of 284,5404 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7879,8220

LCM of Fractions 7879/284,8220/5404 is 16191345

Given numbers has no common factors except 1. So, there LCM is their product i.e 64765380

Least Common Multiple of 7879,8220 with GCF Formula

Least Common Multiple of 7879,8220 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 7879,8220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7879,8220) = 1

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

GCF(7879,8220) x common factors =1 x 1 = 1

LCM(7879,8220) = ( 7879 × 8220 ) / 1

LCM(7879,8220) = 64765380 / 1

LCM(7879,8220) = 64765380


Lets's calculate GCF of 284,5404

2 284, 5404
2 142, 2702
71, 1351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64765380/4

Therefore the LCM of Fractions 7879/284,8220/5404 is 16191345

Greatest Common Factor of 284,5404 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,5404 By Matching Biggest Common Factor Method

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 5404

List of positive integer factors of 5404 that divides 5404 without a remainder.

1,2,4,7,14,28,193,386,772,1351,2702,5404

Greatest Common Factor

We found the factors 284,5404 . The biggest common factor number is the GCF number.
So the greatest common factor 284,5404 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 7879/284, 8220/5404

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 7879/284, 8220/5404?

Answer: LCM of Numerators as per given numbers 7879/284, 8220/5404 is

LCM of Numerators i.e. for 7879,8220 is 64765380

GCF of denominators i.e. for 284,5404 is 4.

Thus, LCM of Fractions is 16191345.Finally, LCM of Fractions for 7879/284, 8220/5404 is 16191345.