Least Common Multiple of 30/74, 59/12, 24/74, 12/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/74, 59/12, 24/74, 12/508 quickly i.e. 3540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/74, 59/12, 24/74, 12/508 is 3540.

LCM(30/74, 59/12, 24/74, 12/508) = 3540

LCM of 30/74, 59/12, 24/74, 12/508

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 30/74,59/12,24/74,12/508

Given numbers are 30/74,59/12,24/74,12/508

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 30,59,24,12

Least Common Multiple of Numerators i.e. LCM of 30,59,24,12 is 7080.

GCF of Denominators means GCF of 74,12,74,508 as per the given fractions.

GCF of 74,12,74,508 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,59,24,12

LCM of Fractions 30/74,59/12,24/74,12/508 is 3540

2 30, 59, 24, 12
2 15, 59, 12, 6
3 15, 59, 3, 6
5, 59, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 59 x 1 x 2 = 7080

Least Common Multiple of 30,59,24,12 with GCF Formula

Least Common Multiple of 30,59,24,12 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 30,59,24,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,59,24,12) = 1

common factors(in case of two or more numbers have common factors) = 72

GCF(30,59,24,12) x common factors =1 x 72 = 72

LCM(30,59,24,12) = ( 30 × 59 × 24 × 12 ) / 72

LCM(30,59,24,12) = 509760 / 72

LCM(30,59,24,12) = 7080


Lets's calculate GCF of 74,12,74,508

2 74, 12, 74, 508
37, 6, 37, 254

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7080/2

Therefore the LCM of Fractions 30/74,59/12,24/74,12/508 is 3540

Greatest Common Factor of 74,12,74,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,12,74,508 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 74,12,74,508 . The biggest common factor number is the GCF number.
So the greatest common factor 74,12,74,508 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 30/74, 59/12, 24/74, 12/508

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 30/74, 59/12, 24/74, 12/508?

Answer: LCM of Numerators as per given numbers 30/74, 59/12, 24/74, 12/508 is

LCM of Numerators i.e. for 30,59,24,12 is 7080

GCF of denominators i.e. for 74,12,74,508 is 2.

Thus, LCM of Fractions is 3540.Finally, LCM of Fractions for 30/74, 59/12, 24/74, 12/508 is 3540.