Least Common Multiple of 299/397, 7506/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 299/397, 7506/458 quickly i.e. 2244294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 299/397, 7506/458 is 2244294.

LCM(299/397, 7506/458) = 2244294

LCM of 299/397, 7506/458

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 299/397,7506/458

Given numbers are 299/397,7506/458

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 299,7506

Least Common Multiple of Numerators i.e. LCM of 299,7506 is 2244294.

GCF of Denominators means GCF of 397,458 as per the given fractions.

GCF of 397,458 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 299,7506

LCM of Fractions 299/397,7506/458 is 2244294

Given numbers has no common factors except 1. So, there LCM is their product i.e 2244294

Least Common Multiple of 299,7506 with GCF Formula

Least Common Multiple of 299,7506 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 299,7506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,7506) = 1

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

GCF(299,7506) x common factors =1 x 1 = 1

LCM(299,7506) = ( 299 × 7506 ) / 1

LCM(299,7506) = 2244294 / 1

LCM(299,7506) = 2244294


Lets's calculate GCF of 397,458

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2244294/1

Therefore the LCM of Fractions 299/397,7506/458 is 2244294

Greatest Common Factor of 397,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,458 By Matching Biggest Common Factor Method

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 397,458 . The biggest common factor number is the GCF number.
So the greatest common factor 397,458 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 299/397, 7506/458

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 299/397, 7506/458?

Answer: LCM of Numerators as per given numbers 299/397, 7506/458 is

LCM of Numerators i.e. for 299,7506 is 2244294

GCF of denominators i.e. for 397,458 is 1.

Thus, LCM of Fractions is 2244294.Finally, LCM of Fractions for 299/397, 7506/458 is 2244294.