Least Common Multiple of 48/500, 7075/8420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/500, 7075/8420 quickly i.e. 16980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/500, 7075/8420 is 16980.

LCM(48/500, 7075/8420) = 16980

LCM of 48/500, 7075/8420

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 48/500,7075/8420

Given numbers are 48/500,7075/8420

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 48,7075

Least Common Multiple of Numerators i.e. LCM of 48,7075 is 339600.

GCF of Denominators means GCF of 500,8420 as per the given fractions.

GCF of 500,8420 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,7075

LCM of Fractions 48/500,7075/8420 is 16980

Given numbers has no common factors except 1. So, there LCM is their product i.e 339600

Least Common Multiple of 48,7075 with GCF Formula

Least Common Multiple of 48,7075 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 48,7075 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,7075) = 1

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

GCF(48,7075) x common factors =1 x 1 = 1

LCM(48,7075) = ( 48 × 7075 ) / 1

LCM(48,7075) = 339600 / 1

LCM(48,7075) = 339600


Lets's calculate GCF of 500,8420

2 500, 8420
2 250, 4210
5 125, 2105
25, 421

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 339600/20

Therefore the LCM of Fractions 48/500,7075/8420 is 16980

Greatest Common Factor of 500,8420 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,8420 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 8420

List of positive integer factors of 8420 that divides 8420 without a remainder.

1,2,4,5,10,20,421,842,1684,2105,4210,8420

Greatest Common Factor

We found the factors 500,8420 . The biggest common factor number is the GCF number.
So the greatest common factor 500,8420 is 20.


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 48/500, 7075/8420

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 48/500, 7075/8420?

Answer: LCM of Numerators as per given numbers 48/500, 7075/8420 is

LCM of Numerators i.e. for 48,7075 is 339600

GCF of denominators i.e. for 500,8420 is 20.

Thus, LCM of Fractions is 16980.Finally, LCM of Fractions for 48/500, 7075/8420 is 16980.