Least Common Multiple of 48/294, 29/480, 915/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/294, 29/480, 915/614 quickly i.e. 212280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/294, 29/480, 915/614 is 212280.

LCM(48/294, 29/480, 915/614) = 212280

LCM of 48/294, 29/480, 915/614

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 48/294,29/480,915/614

Given numbers are 48/294,29/480,915/614

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 48,29,915

Least Common Multiple of Numerators i.e. LCM of 48,29,915 is 424560.

GCF of Denominators means GCF of 294,480,614 as per the given fractions.

GCF of 294,480,614 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,29,915

LCM of Fractions 48/294,29/480,915/614 is 212280

3 48, 29, 915
16, 29, 305

∴ So the LCM of the given numbers is 3 x 16 x 29 x 305 = 424560

Least Common Multiple of 48,29,915 with GCF Formula

Least Common Multiple of 48,29,915 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 48,29,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,29,915) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(48,29,915) x common factors =1 x 3 = 3

LCM(48,29,915) = ( 48 × 29 × 915 ) / 3

LCM(48,29,915) = 1273680 / 3

LCM(48,29,915) = 424560


Lets's calculate GCF of 294,480,614

2 294, 480, 614
147, 240, 307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 424560/2

Therefore the LCM of Fractions 48/294,29/480,915/614 is 212280

Greatest Common Factor of 294,480,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,480,614 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 294,480,614 . The biggest common factor number is the GCF number.
So the greatest common factor 294,480,614 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 48/294, 29/480, 915/614

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 48/294, 29/480, 915/614?

Answer: LCM of Numerators as per given numbers 48/294, 29/480, 915/614 is

LCM of Numerators i.e. for 48,29,915 is 424560

GCF of denominators i.e. for 294,480,614 is 2.

Thus, LCM of Fractions is 212280.Finally, LCM of Fractions for 48/294, 29/480, 915/614 is 212280.