Least Common Multiple of 1463/238, 6216/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1463/238, 6216/275 quickly i.e. 1299144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1463/238, 6216/275 is 1299144.

LCM(1463/238, 6216/275) = 1299144

LCM of 1463/238, 6216/275

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 1463/238,6216/275

Given numbers are 1463/238,6216/275

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 1463,6216

Least Common Multiple of Numerators i.e. LCM of 1463,6216 is 1299144.

GCF of Denominators means GCF of 238,275 as per the given fractions.

GCF of 238,275 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1463,6216

LCM of Fractions 1463/238,6216/275 is 1299144

7 1463, 6216
209, 888

∴ So the LCM of the given numbers is 7 x 209 x 888 = 1299144

Least Common Multiple of 1463,6216 with GCF Formula

Least Common Multiple of 1463,6216 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 1463,6216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1463,6216) = 7

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

GCF(1463,6216) x common factors =7 x 1 = 7

LCM(1463,6216) = ( 1463 × 6216 ) / 7

LCM(1463,6216) = 9094008 / 7

LCM(1463,6216) = 1299144


Lets's calculate GCF of 238,275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1299144/1

Therefore the LCM of Fractions 1463/238,6216/275 is 1299144

Greatest Common Factor of 238,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,275 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 238,275 . The biggest common factor number is the GCF number.
So the greatest common factor 238,275 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 1463/238, 6216/275

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 1463/238, 6216/275?

Answer: LCM of Numerators as per given numbers 1463/238, 6216/275 is

LCM of Numerators i.e. for 1463,6216 is 1299144

GCF of denominators i.e. for 238,275 is 1.

Thus, LCM of Fractions is 1299144.Finally, LCM of Fractions for 1463/238, 6216/275 is 1299144.