Least Common Multiple of 14/448, 8347/5240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/448, 8347/5240 quickly i.e. 116858/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/448, 8347/5240 is 116858/8.

LCM(14/448, 8347/5240) = 116858/8

LCM of 14/448, 8347/5240

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 14/448,8347/5240

Given numbers are 14/448,8347/5240

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 14,8347

Least Common Multiple of Numerators i.e. LCM of 14,8347 is 116858.

GCF of Denominators means GCF of 448,5240 as per the given fractions.

GCF of 448,5240 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,8347

LCM of Fractions 14/448,8347/5240 is 116858/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 116858

Least Common Multiple of 14,8347 with GCF Formula

Least Common Multiple of 14,8347 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 14,8347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,8347) = 1

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

GCF(14,8347) x common factors =1 x 1 = 1

LCM(14,8347) = ( 14 × 8347 ) / 1

LCM(14,8347) = 116858 / 1

LCM(14,8347) = 116858


Lets's calculate GCF of 448,5240

2 448, 5240
2 224, 2620
2 112, 1310
56, 655

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116858/8

Therefore the LCM of Fractions 14/448,8347/5240 is 116858/8

Greatest Common Factor of 448,5240 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,5240 By Matching Biggest Common Factor Method

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

Factors of 5240

List of positive integer factors of 5240 that divides 5240 without a remainder.

1,2,4,5,8,10,20,40,131,262,524,655,1048,1310,2620,5240

Greatest Common Factor

We found the factors 448,5240 . The biggest common factor number is the GCF number.
So the greatest common factor 448,5240 is 8.


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 14/448, 8347/5240

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 14/448, 8347/5240?

Answer: LCM of Numerators as per given numbers 14/448, 8347/5240 is

LCM of Numerators i.e. for 14,8347 is 116858

GCF of denominators i.e. for 448,5240 is 8.

Thus, LCM of Fractions is 116858/8.Finally, LCM of Fractions for 14/448, 8347/5240 is 116858/8.