Given numbers are 936,230,293,528,530

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

The LCM of 936,230,293,528,530 is 36773914320.

Find LCM of 936,230,293,528,530 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 39 x 23 x 293 x 22 x 53 = 36773914320

Therefore, the lowest common multiple of 936,230,293,528,530 is 36773914320.

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.

936 x 230 x 293 x 528 x 530 = 17651478873600

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.

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

230 : 1, 2, 5, 10, 23, 46, 115, 230

293 : 1, 293

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

530 : 1, 2, 5, 10, 53, 106, 265, 530

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,230,293,528,530, is 1.

Now, the common factors can be found like this.

936:2x 2x 2x 3x 3x 13

230:2x 5x 23

293:293

528:2x 2x 2x 2x 3x 11

530:2x 5x 53

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 3x 5 = 480

Therefore, the value for common factors is 480.

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 = 17651478873600/(1x480)

LCM = 17651478873600/480

LCM = 36773914320

Thus, we can understand that the LCM of 936,230,293,528,530 is 36773914320.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 808, 254, 973, 988, 677
• LCM of 105, 453, 821, 513, 785
• LCM of 592, 797, 915, 330, 884
• LCM of 140, 114, 534, 273, 489
• LCM of 429, 969, 460, 677, 384

1. What is the LCM of 936, 230, 293, 528, 530?

Answer: LCM of 936, 230, 293, 528, 530 is 36773914320.

2. How to calculate the LCM of 936, 230, 293, 528, 530?

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 936, 230, 293, 528, 530.

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}.