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LCM of 920, 323, 483, 864, 984

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


Find the LCM of 920, 323, 483, 864, 984 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 920, 323, 483, 864, 984. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 920,323,483,864,984

Given numbers are 920,323,483,864,984

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

The LCM of 920,323,483,864,984 is 9210771360.

Find LCM of 920,323,483,864,984 with Prime Factorization


2 920, 323, 483, 864, 984
2 460, 323, 483, 432, 492
2 230, 323, 483, 216, 246
3 115, 323, 483, 108, 123
23 115, 323, 161, 36, 41
5, 323, 7, 36, 41

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

2 x 2 x 2 x 3 x 23 x 5 x 323 x 7 x 36 x 41 = 9210771360

Therefore, the lowest common multiple of 920,323,483,864,984 is 9210771360.

LCM Formula to Find Lowest Common Multiple of 920,323,483,864,984

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.

920 x 323 x 483 x 864 x 984 = 122024298977280

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

323 : 1, 17, 19, 323

483 : 1, 3, 7, 21, 23, 69, 161, 483

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,323,483,864,984, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

323:17x 19

483:3x 7x 23

864:2x 2x 2x 2x 2x 3x 3x 3

984:2x 2x 2x 3x 41

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 2x 2x 2x 3x 3x 23 = 13248

Therefore, the value for common factors is 13248.

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 = 122024298977280/(1x13248)

LCM = 122024298977280/13248

LCM = 9210771360

Thus, we can understand that the LCM of 920,323,483,864,984 is 9210771360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 920, 323, 483, 864, 984

1. What is the LCM of 920, 323, 483, 864, 984?

Answer: LCM of 920, 323, 483, 864, 984 is 9210771360.

2. How to calculate the LCM of 920, 323, 483, 864, 984?

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 920, 323, 483, 864, 984.

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}.