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LCM of 323, 938, 884, 444

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


Find the LCM of 323, 938, 884, 444 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 323, 938, 884, 444. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 323,938,884,444

Given numbers are 323,938,884,444

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

The LCM of 323,938,884,444 is 874382964.

Find LCM of 323,938,884,444 with Prime Factorization


2 323, 938, 884, 444
2 323, 469, 442, 222
17 323, 469, 221, 111
19, 469, 13, 111

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

2 x 2 x 17 x 19 x 469 x 13 x 111 = 874382964

Therefore, the lowest common multiple of 323,938,884,444 is 874382964.

LCM Formula to Find Lowest Common Multiple of 323,938,884,444

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.

323 x 938 x 884 x 444 = 118916083104

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.

323 : 1, 17, 19, 323

938 : 1, 2, 7, 14, 67, 134, 469, 938

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,938,884,444, is 1.

Now, the common factors can be found like this.

323:17x 19

938:2x 7x 67

884:2x 2x 13x 17

444:2x 2x 3x 37

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

2x 2x 2x 17 = 136

Therefore, the value for common factors is 136.

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 = 118916083104/(1x136)

LCM = 118916083104/136

LCM = 874382964

Thus, we can understand that the LCM of 323,938,884,444 is 874382964.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 323, 938, 884, 444

1. What is the LCM of 323, 938, 884, 444?

Answer: LCM of 323, 938, 884, 444 is 874382964.

2. How to calculate the LCM of 323, 938, 884, 444?

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 323, 938, 884, 444.

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}.