Least Common Multiple of 74/74, 34/20, 530/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/74, 34/20, 530/75 quickly i.e. 333370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/74, 34/20, 530/75 is 333370.

LCM(74/74, 34/20, 530/75) = 333370

LCM of 74/74, 34/20, 530/75

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 74/74,34/20,530/75

Given numbers are 74/74,34/20,530/75

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 74,34,530

Least Common Multiple of Numerators i.e. LCM of 74,34,530 is 333370.

GCF of Denominators means GCF of 74,20,75 as per the given fractions.

GCF of 74,20,75 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,34,530

LCM of Fractions 74/74,34/20,530/75 is 333370

2 74, 34, 530
37, 17, 265

∴ So the LCM of the given numbers is 2 x 37 x 17 x 265 = 333370

Least Common Multiple of 74,34,530 with GCF Formula

Least Common Multiple of 74,34,530 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 74,34,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,34,530) = 2

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

GCF(74,34,530) x common factors =2 x 2 = 4

LCM(74,34,530) = ( 74 × 34 × 530 ) / 4

LCM(74,34,530) = 1333480 / 4

LCM(74,34,530) = 333370


Lets's calculate GCF of 74,20,75

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 333370/1

Therefore the LCM of Fractions 74/74,34/20,530/75 is 333370

Greatest Common Factor of 74,20,75 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,20,75 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 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Greatest Common Factor

We found the factors 74,20,75 . The biggest common factor number is the GCF number.
So the greatest common factor 74,20,75 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 74/74, 34/20, 530/75

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 74/74, 34/20, 530/75?

Answer: LCM of Numerators as per given numbers 74/74, 34/20, 530/75 is

LCM of Numerators i.e. for 74,34,530 is 333370

GCF of denominators i.e. for 74,20,75 is 1.

Thus, LCM of Fractions is 333370.Finally, LCM of Fractions for 74/74, 34/20, 530/75 is 333370.