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LCM of 867, 732, 303, 482, 384

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


Find the LCM of 867, 732, 303, 482, 384 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 867, 732, 303, 482, 384. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 867,732,303,482,384

Given numbers are 867,732,303,482,384

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

The LCM of 867,732,303,482,384 is 164777275776.

Find LCM of 867,732,303,482,384 with Prime Factorization


2 867, 732, 303, 482, 384
2 867, 366, 303, 241, 192
3 867, 183, 303, 241, 96
289, 61, 101, 241, 32

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

2 x 2 x 3 x 289 x 61 x 101 x 241 x 32 = 164777275776

Therefore, the lowest common multiple of 867,732,303,482,384 is 164777275776.

LCM Formula to Find Lowest Common Multiple of 867,732,303,482,384

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.

867 x 732 x 303 x 482 x 384 = 35591891567616

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.

867 : 1, 3, 17, 51, 289, 867

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

303 : 1, 3, 101, 303

482 : 1, 2, 241, 482

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,732,303,482,384, is 1.

Now, the common factors can be found like this.

867:3x 17x 17

732:2x 2x 3x 61

303:3x 101

482:2x 241

384:2x 2x 2x 2x 2x 2x 2x 3

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 35591891567616/(1x216)

LCM = 35591891567616/216

LCM = 164777275776

Thus, we can understand that the LCM of 867,732,303,482,384 is 164777275776.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 867, 732, 303, 482, 384

1. What is the LCM of 867, 732, 303, 482, 384?

Answer: LCM of 867, 732, 303, 482, 384 is 164777275776.

2. How to calculate the LCM of 867, 732, 303, 482, 384?

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 867, 732, 303, 482, 384.

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}.