Least Common Multiple of 14/608, 1123/9395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/608, 1123/9395 quickly i.e. 15722 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/608, 1123/9395 is 15722.

LCM(14/608, 1123/9395) = 15722

LCM of 14/608, 1123/9395

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 14/608,1123/9395

Given numbers are 14/608,1123/9395

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 14,1123

Least Common Multiple of Numerators i.e. LCM of 14,1123 is 15722.

GCF of Denominators means GCF of 608,9395 as per the given fractions.

GCF of 608,9395 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,1123

LCM of Fractions 14/608,1123/9395 is 15722

Given numbers has no common factors except 1. So, there LCM is their product i.e 15722

Least Common Multiple of 14,1123 with GCF Formula

Least Common Multiple of 14,1123 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 14,1123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,1123) = 1

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

GCF(14,1123) x common factors =1 x 1 = 1

LCM(14,1123) = ( 14 × 1123 ) / 1

LCM(14,1123) = 15722 / 1

LCM(14,1123) = 15722


Lets's calculate GCF of 608,9395

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15722/1

Therefore the LCM of Fractions 14/608,1123/9395 is 15722

Greatest Common Factor of 608,9395 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,9395 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 9395

List of positive integer factors of 9395 that divides 9395 without a remainder.

1,5,1879,9395

Greatest Common Factor

We found the factors 608,9395 . The biggest common factor number is the GCF number.
So the greatest common factor 608,9395 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 14/608, 1123/9395

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 14/608, 1123/9395?

Answer: LCM of Numerators as per given numbers 14/608, 1123/9395 is

LCM of Numerators i.e. for 14,1123 is 15722

GCF of denominators i.e. for 608,9395 is 1.

Thus, LCM of Fractions is 15722.Finally, LCM of Fractions for 14/608, 1123/9395 is 15722.