Least Common Multiple of 398/24, 448/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 398/24, 448/214 quickly i.e. 44576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 398/24, 448/214 is 44576.

LCM(398/24, 448/214) = 44576

LCM of 398/24, 448/214

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 398/24,448/214

Given numbers are 398/24,448/214

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 398,448

Least Common Multiple of Numerators i.e. LCM of 398,448 is 89152.

GCF of Denominators means GCF of 24,214 as per the given fractions.

GCF of 24,214 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 398,448

LCM of Fractions 398/24,448/214 is 44576

2 398, 448
199, 224

∴ So the LCM of the given numbers is 2 x 199 x 224 = 89152

Least Common Multiple of 398,448 with GCF Formula

Least Common Multiple of 398,448 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 398,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,448) = 2

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

GCF(398,448) x common factors =2 x 1 = 2

LCM(398,448) = ( 398 × 448 ) / 2

LCM(398,448) = 178304 / 2

LCM(398,448) = 89152


Lets's calculate GCF of 24,214

2 24, 214
12, 107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89152/2

Therefore the LCM of Fractions 398/24,448/214 is 44576

Greatest Common Factor of 24,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,214 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 24,214 . The biggest common factor number is the GCF number.
So the greatest common factor 24,214 is 2.


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 398/24, 448/214

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 398/24, 448/214?

Answer: LCM of Numerators as per given numbers 398/24, 448/214 is

LCM of Numerators i.e. for 398,448 is 89152

GCF of denominators i.e. for 24,214 is 2.

Thus, LCM of Fractions is 44576.Finally, LCM of Fractions for 398/24, 448/214 is 44576.