Least Common Multiple of 500/84, 568/4748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/84, 568/4748 quickly i.e. 17750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/84, 568/4748 is 17750.

LCM(500/84, 568/4748) = 17750

LCM of 500/84, 568/4748

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 500/84,568/4748

Given numbers are 500/84,568/4748

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 500,568

Least Common Multiple of Numerators i.e. LCM of 500,568 is 71000.

GCF of Denominators means GCF of 84,4748 as per the given fractions.

GCF of 84,4748 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,568

LCM of Fractions 500/84,568/4748 is 17750

2 500, 568
2 250, 284
125, 142

∴ So the LCM of the given numbers is 2 x 2 x 125 x 142 = 71000

Least Common Multiple of 500,568 with GCF Formula

Least Common Multiple of 500,568 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 500,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,568) = 4

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

GCF(500,568) x common factors =4 x 1 = 4

LCM(500,568) = ( 500 × 568 ) / 4

LCM(500,568) = 284000 / 4

LCM(500,568) = 71000


Lets's calculate GCF of 84,4748

2 84, 4748
2 42, 2374
21, 1187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71000/4

Therefore the LCM of Fractions 500/84,568/4748 is 17750

Greatest Common Factor of 84,4748 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,4748 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 4748

List of positive integer factors of 4748 that divides 4748 without a remainder.

1,2,4,1187,2374,4748

Greatest Common Factor

We found the factors 84,4748 . The biggest common factor number is the GCF number.
So the greatest common factor 84,4748 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 500/84, 568/4748

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 500/84, 568/4748?

Answer: LCM of Numerators as per given numbers 500/84, 568/4748 is

LCM of Numerators i.e. for 500,568 is 71000

GCF of denominators i.e. for 84,4748 is 4.

Thus, LCM of Fractions is 17750.Finally, LCM of Fractions for 500/84, 568/4748 is 17750.