Least Common Multiple of 414/72, 2453/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 414/72, 2453/313 quickly i.e. 1015542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 414/72, 2453/313 is 1015542.

LCM(414/72, 2453/313) = 1015542

LCM of 414/72, 2453/313

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 414/72,2453/313

Given numbers are 414/72,2453/313

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 414,2453

Least Common Multiple of Numerators i.e. LCM of 414,2453 is 1015542.

GCF of Denominators means GCF of 72,313 as per the given fractions.

GCF of 72,313 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 414,2453

LCM of Fractions 414/72,2453/313 is 1015542

Given numbers has no common factors except 1. So, there LCM is their product i.e 1015542

Least Common Multiple of 414,2453 with GCF Formula

Least Common Multiple of 414,2453 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 414,2453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,2453) = 1

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

GCF(414,2453) x common factors =1 x 1 = 1

LCM(414,2453) = ( 414 × 2453 ) / 1

LCM(414,2453) = 1015542 / 1

LCM(414,2453) = 1015542


Lets's calculate GCF of 72,313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1015542/1

Therefore the LCM of Fractions 414/72,2453/313 is 1015542

Greatest Common Factor of 72,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,313 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 72,313 . The biggest common factor number is the GCF number.
So the greatest common factor 72,313 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 414/72, 2453/313

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 414/72, 2453/313?

Answer: LCM of Numerators as per given numbers 414/72, 2453/313 is

LCM of Numerators i.e. for 414,2453 is 1015542

GCF of denominators i.e. for 72,313 is 1.

Thus, LCM of Fractions is 1015542.Finally, LCM of Fractions for 414/72, 2453/313 is 1015542.