Least Common Multiple of 18/844, 484/712, 246/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/844, 484/712, 246/296 quickly i.e. 44649 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/844, 484/712, 246/296 is 44649.

LCM(18/844, 484/712, 246/296) = 44649

LCM of 18/844, 484/712, 246/296

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 18/844,484/712,246/296

Given numbers are 18/844,484/712,246/296

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 18,484,246

Least Common Multiple of Numerators i.e. LCM of 18,484,246 is 178596.

GCF of Denominators means GCF of 844,712,296 as per the given fractions.

GCF of 844,712,296 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,484,246

LCM of Fractions 18/844,484/712,246/296 is 44649

2 18, 484, 246
3 9, 242, 123
3, 242, 41

∴ So the LCM of the given numbers is 2 x 3 x 3 x 242 x 41 = 178596

Least Common Multiple of 18,484,246 with GCF Formula

Least Common Multiple of 18,484,246 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 18,484,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,484,246) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(18,484,246) x common factors =2 x 6 = 12

LCM(18,484,246) = ( 18 × 484 × 246 ) / 12

LCM(18,484,246) = 2143152 / 12

LCM(18,484,246) = 178596


Lets's calculate GCF of 844,712,296

2 844, 712, 296
2 422, 356, 148
211, 178, 74

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178596/4

Therefore the LCM of Fractions 18/844,484/712,246/296 is 44649

Greatest Common Factor of 844,712,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 844,712,296 By Matching Biggest Common Factor Method

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 844,712,296 . The biggest common factor number is the GCF number.
So the greatest common factor 844,712,296 is 4.


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 18/844, 484/712, 246/296

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 18/844, 484/712, 246/296?

Answer: LCM of Numerators as per given numbers 18/844, 484/712, 246/296 is

LCM of Numerators i.e. for 18,484,246 is 178596

GCF of denominators i.e. for 844,712,296 is 4.

Thus, LCM of Fractions is 44649.Finally, LCM of Fractions for 18/844, 484/712, 246/296 is 44649.