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LCM of 364, 189, 493, 831, 418

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 364, 189, 493, 831, 418 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 364, 189, 493, 831, 418. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 364,189,493,831,418

Given numbers are 364,189,493,831,418

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 364,189,493,831,418 is 280503395172.

Find LCM of 364,189,493,831,418 with Prime Factorization


2 364, 189, 493, 831, 418
3 182, 189, 493, 831, 209
7 182, 63, 493, 277, 209
26, 9, 493, 277, 209

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 7 x 26 x 9 x 493 x 277 x 209 = 280503395172

Therefore, the lowest common multiple of 364,189,493,831,418 is 280503395172.

LCM Formula to Find Lowest Common Multiple of 364,189,493,831,418

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

364 x 189 x 493 x 831 x 418 = 11781142597224

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

189 : 1, 3, 7, 9, 21, 27, 63, 189

493 : 1, 17, 29, 493

831 : 1, 3, 277, 831

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,189,493,831,418, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

189:3x 3x 3x 7

493:17x 29

831:3x 277

418:2x 11x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 7 = 42

Therefore, the value for common factors is 42.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 11781142597224/(1x42)

LCM = 11781142597224/42

LCM = 280503395172

Thus, we can understand that the LCM of 364,189,493,831,418 is 280503395172.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 364, 189, 493, 831, 418

1. What is the LCM of 364, 189, 493, 831, 418?

Answer: LCM of 364, 189, 493, 831, 418 is 280503395172.

2. How to calculate the LCM of 364, 189, 493, 831, 418?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 364, 189, 493, 831, 418.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.