Least Common Multiple of 8310/14, 3237/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8310/14, 3237/448 quickly i.e. 8966490/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8310/14, 3237/448 is 8966490/14.

LCM(8310/14, 3237/448) = 8966490/14

LCM of 8310/14, 3237/448

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 8310/14,3237/448

Given numbers are 8310/14,3237/448

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 8310,3237

Least Common Multiple of Numerators i.e. LCM of 8310,3237 is 8966490.

GCF of Denominators means GCF of 14,448 as per the given fractions.

GCF of 14,448 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8310,3237

LCM of Fractions 8310/14,3237/448 is 8966490/14

3 8310, 3237
2770, 1079

∴ So the LCM of the given numbers is 3 x 2770 x 1079 = 8966490

Least Common Multiple of 8310,3237 with GCF Formula

Least Common Multiple of 8310,3237 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 8310,3237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8310,3237) = 3

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

GCF(8310,3237) x common factors =3 x 1 = 3

LCM(8310,3237) = ( 8310 × 3237 ) / 3

LCM(8310,3237) = 26899470 / 3

LCM(8310,3237) = 8966490


Lets's calculate GCF of 14,448

2 14, 448
7 7, 224
1, 32

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8966490/14

Therefore the LCM of Fractions 8310/14,3237/448 is 8966490/14

Greatest Common Factor of 14,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,448 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 14,448 . The biggest common factor number is the GCF number.
So the greatest common factor 14,448 is 14.


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 8310/14, 3237/448

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 8310/14, 3237/448?

Answer: LCM of Numerators as per given numbers 8310/14, 3237/448 is

LCM of Numerators i.e. for 8310,3237 is 8966490

GCF of denominators i.e. for 14,448 is 14.

Thus, LCM of Fractions is 8966490/14.Finally, LCM of Fractions for 8310/14, 3237/448 is 8966490/14.