Least Common Multiple of 74/594, 807/77, 484/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/594, 807/77, 484/944 quickly i.e. 14451756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/594, 807/77, 484/944 is 14451756.

LCM(74/594, 807/77, 484/944) = 14451756

LCM of 74/594, 807/77, 484/944

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 74/594,807/77,484/944

Given numbers are 74/594,807/77,484/944

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 74,807,484

Least Common Multiple of Numerators i.e. LCM of 74,807,484 is 14451756.

GCF of Denominators means GCF of 594,77,944 as per the given fractions.

GCF of 594,77,944 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,807,484

LCM of Fractions 74/594,807/77,484/944 is 14451756

2 74, 807, 484
37, 807, 242

∴ So the LCM of the given numbers is 2 x 37 x 807 x 242 = 14451756

Least Common Multiple of 74,807,484 with GCF Formula

Least Common Multiple of 74,807,484 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 74,807,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,807,484) = 1

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

GCF(74,807,484) x common factors =1 x 2 = 2

LCM(74,807,484) = ( 74 × 807 × 484 ) / 2

LCM(74,807,484) = 28903512 / 2

LCM(74,807,484) = 14451756


Lets's calculate GCF of 594,77,944

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14451756/1

Therefore the LCM of Fractions 74/594,807/77,484/944 is 14451756

Greatest Common Factor of 594,77,944 By Matching Biggest Common Factor Method

Greatest Common Factor of 594,77,944 By Matching Biggest Common Factor Method

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Greatest Common Factor

We found the factors 594,77,944 . The biggest common factor number is the GCF number.
So the greatest common factor 594,77,944 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 74/594, 807/77, 484/944

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 74/594, 807/77, 484/944?

Answer: LCM of Numerators as per given numbers 74/594, 807/77, 484/944 is

LCM of Numerators i.e. for 74,807,484 is 14451756

GCF of denominators i.e. for 594,77,944 is 1.

Thus, LCM of Fractions is 14451756.Finally, LCM of Fractions for 74/594, 807/77, 484/944 is 14451756.