Least Common Multiple of 398/596, 1518/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 398/596, 1518/447 quickly i.e. 302082/149 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 398/596, 1518/447 is 302082/149.

LCM(398/596, 1518/447) = 302082/149

LCM of 398/596, 1518/447

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 398/596,1518/447

Given numbers are 398/596,1518/447

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 398,1518

Least Common Multiple of Numerators i.e. LCM of 398,1518 is 302082.

GCF of Denominators means GCF of 596,447 as per the given fractions.

GCF of 596,447 is 149 as it is the largest common factor for these numbers.

Lets's calculate LCM of 398,1518

LCM of Fractions 398/596,1518/447 is 302082/149

2 398, 1518
199, 759

∴ So the LCM of the given numbers is 2 x 199 x 759 = 302082

Least Common Multiple of 398,1518 with GCF Formula

Least Common Multiple of 398,1518 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 398,1518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,1518) = 2

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

GCF(398,1518) x common factors =2 x 1 = 2

LCM(398,1518) = ( 398 × 1518 ) / 2

LCM(398,1518) = 604164 / 2

LCM(398,1518) = 302082


Lets's calculate GCF of 596,447

149 596, 447
4, 3

∴ So the GCF of the given numbers is 149 = 149

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 302082/149

Therefore the LCM of Fractions 398/596,1518/447 is 302082/149

Greatest Common Factor of 596,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,447 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 596,447 . The biggest common factor number is the GCF number.
So the greatest common factor 596,447 is 149.


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 398/596, 1518/447

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 398/596, 1518/447?

Answer: LCM of Numerators as per given numbers 398/596, 1518/447 is

LCM of Numerators i.e. for 398,1518 is 302082

GCF of denominators i.e. for 596,447 is 149.

Thus, LCM of Fractions is 302082/149.Finally, LCM of Fractions for 398/596, 1518/447 is 302082/149.