Least Common Multiple of 3/24, 45/292, 14/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/24, 45/292, 14/514 quickly i.e. 315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/24, 45/292, 14/514 is 315.

LCM(3/24, 45/292, 14/514) = 315

LCM of 3/24, 45/292, 14/514

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 3/24,45/292,14/514

Given numbers are 3/24,45/292,14/514

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 3,45,14

Least Common Multiple of Numerators i.e. LCM of 3,45,14 is 630.

GCF of Denominators means GCF of 24,292,514 as per the given fractions.

GCF of 24,292,514 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,45,14

LCM of Fractions 3/24,45/292,14/514 is 315

3 3, 45, 14
1, 15, 14

∴ So the LCM of the given numbers is 3 x 1 x 15 x 14 = 630

Least Common Multiple of 3,45,14 with GCF Formula

Least Common Multiple of 3,45,14 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 3,45,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,45,14) = 1

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

GCF(3,45,14) x common factors =1 x 3 = 3

LCM(3,45,14) = ( 3 × 45 × 14 ) / 3

LCM(3,45,14) = 1890 / 3

LCM(3,45,14) = 630


Lets's calculate GCF of 24,292,514

2 24, 292, 514
12, 146, 257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 630/2

Therefore the LCM of Fractions 3/24,45/292,14/514 is 315

Greatest Common Factor of 24,292,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,292,514 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 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 24,292,514 . The biggest common factor number is the GCF number.
So the greatest common factor 24,292,514 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 3/24, 45/292, 14/514

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 3/24, 45/292, 14/514?

Answer: LCM of Numerators as per given numbers 3/24, 45/292, 14/514 is

LCM of Numerators i.e. for 3,45,14 is 630

GCF of denominators i.e. for 24,292,514 is 2.

Thus, LCM of Fractions is 315.Finally, LCM of Fractions for 3/24, 45/292, 14/514 is 315.