Least Common Multiple of 348/24, 281/38, 974/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 348/24, 281/38, 974/225 quickly i.e. 47622756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 348/24, 281/38, 974/225 is 47622756.

LCM(348/24, 281/38, 974/225) = 47622756

LCM of 348/24, 281/38, 974/225

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 348/24,281/38,974/225

Given numbers are 348/24,281/38,974/225

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 348,281,974

Least Common Multiple of Numerators i.e. LCM of 348,281,974 is 47622756.

GCF of Denominators means GCF of 24,38,225 as per the given fractions.

GCF of 24,38,225 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 348,281,974

LCM of Fractions 348/24,281/38,974/225 is 47622756

2 348, 281, 974
174, 281, 487

∴ So the LCM of the given numbers is 2 x 174 x 281 x 487 = 47622756

Least Common Multiple of 348,281,974 with GCF Formula

Least Common Multiple of 348,281,974 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 348,281,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,281,974) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(348,281,974) x common factors =1 x 2 = 2

LCM(348,281,974) = ( 348 × 281 × 974 ) / 2

LCM(348,281,974) = 95245512 / 2

LCM(348,281,974) = 47622756


Lets's calculate GCF of 24,38,225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47622756/1

Therefore the LCM of Fractions 348/24,281/38,974/225 is 47622756

Greatest Common Factor of 24,38,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,38,225 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 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 24,38,225 . The biggest common factor number is the GCF number.
So the greatest common factor 24,38,225 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 348/24, 281/38, 974/225

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 348/24, 281/38, 974/225?

Answer: LCM of Numerators as per given numbers 348/24, 281/38, 974/225 is

LCM of Numerators i.e. for 348,281,974 is 47622756

GCF of denominators i.e. for 24,38,225 is 1.

Thus, LCM of Fractions is 47622756.Finally, LCM of Fractions for 348/24, 281/38, 974/225 is 47622756.