Least Common Multiple of 5725/245, 6784/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5725/245, 6784/218 quickly i.e. 38838400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5725/245, 6784/218 is 38838400.

LCM(5725/245, 6784/218) = 38838400

LCM of 5725/245, 6784/218

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 5725/245,6784/218

Given numbers are 5725/245,6784/218

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 5725,6784

Least Common Multiple of Numerators i.e. LCM of 5725,6784 is 38838400.

GCF of Denominators means GCF of 245,218 as per the given fractions.

GCF of 245,218 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5725,6784

LCM of Fractions 5725/245,6784/218 is 38838400

Given numbers has no common factors except 1. So, there LCM is their product i.e 38838400

Least Common Multiple of 5725,6784 with GCF Formula

Least Common Multiple of 5725,6784 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 5725,6784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5725,6784) = 1

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

GCF(5725,6784) x common factors =1 x 1 = 1

LCM(5725,6784) = ( 5725 × 6784 ) / 1

LCM(5725,6784) = 38838400 / 1

LCM(5725,6784) = 38838400


Lets's calculate GCF of 245,218

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38838400/1

Therefore the LCM of Fractions 5725/245,6784/218 is 38838400

Greatest Common Factor of 245,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,218 By Matching Biggest Common Factor Method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Greatest Common Factor

We found the factors 245,218 . The biggest common factor number is the GCF number.
So the greatest common factor 245,218 is 1.


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 5725/245, 6784/218

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 5725/245, 6784/218?

Answer: LCM of Numerators as per given numbers 5725/245, 6784/218 is

LCM of Numerators i.e. for 5725,6784 is 38838400

GCF of denominators i.e. for 245,218 is 1.

Thus, LCM of Fractions is 38838400.Finally, LCM of Fractions for 5725/245, 6784/218 is 38838400.