Least Common Multiple of 74/75, 55/24, 105/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/75, 55/24, 105/452 quickly i.e. 85470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/75, 55/24, 105/452 is 85470.

LCM(74/75, 55/24, 105/452) = 85470

LCM of 74/75, 55/24, 105/452

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 74/75,55/24,105/452

Given numbers are 74/75,55/24,105/452

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 74,55,105

Least Common Multiple of Numerators i.e. LCM of 74,55,105 is 85470.

GCF of Denominators means GCF of 75,24,452 as per the given fractions.

GCF of 75,24,452 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,55,105

LCM of Fractions 74/75,55/24,105/452 is 85470

5 74, 55, 105
74, 11, 21

∴ So the LCM of the given numbers is 5 x 74 x 11 x 21 = 85470

Least Common Multiple of 74,55,105 with GCF Formula

Least Common Multiple of 74,55,105 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 74,55,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,55,105) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(74,55,105) x common factors =1 x 5 = 5

LCM(74,55,105) = ( 74 × 55 × 105 ) / 5

LCM(74,55,105) = 427350 / 5

LCM(74,55,105) = 85470


Lets's calculate GCF of 75,24,452

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85470/1

Therefore the LCM of Fractions 74/75,55/24,105/452 is 85470

Greatest Common Factor of 75,24,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,24,452 By Matching Biggest Common Factor Method

Factors of 75

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

1,3,5,15,25,75

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 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Greatest Common Factor

We found the factors 75,24,452 . The biggest common factor number is the GCF number.
So the greatest common factor 75,24,452 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 74/75, 55/24, 105/452

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 74/75, 55/24, 105/452?

Answer: LCM of Numerators as per given numbers 74/75, 55/24, 105/452 is

LCM of Numerators i.e. for 74,55,105 is 85470

GCF of denominators i.e. for 75,24,452 is 1.

Thus, LCM of Fractions is 85470.Finally, LCM of Fractions for 74/75, 55/24, 105/452 is 85470.