Given numbers are 828,273,862,936,213

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

The LCM of 828,273,862,936,213 is 4611448296.

Find LCM of 828,273,862,936,213 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 23 x 7 x 431 x 2 x 71 = 4611448296

Therefore, the lowest common multiple of 828,273,862,936,213 is 4611448296.

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.

828 x 273 x 862 x 936 x 213 = 38846840445504

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

273 : 1, 3, 7, 13, 21, 39, 91, 273

862 : 1, 2, 431, 862

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

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,273,862,936,213, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

273:3x 7x 13

862:2x 431

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

213:3x 71

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 3x 3x 13 = 8424

Therefore, the value for common factors is 8424.

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 = 38846840445504/(1x8424)

LCM = 38846840445504/8424

LCM = 4611448296

Thus, we can understand that the LCM of 828,273,862,936,213 is 4611448296.

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

• LCM of 610, 138, 167, 963, 583
• LCM of 210, 226, 777, 854, 188
• LCM of 245, 956, 918, 997, 325
• LCM of 495, 766, 656, 148, 523
• LCM of 268, 272, 894, 492, 610

1. What is the LCM of 828, 273, 862, 936, 213?

Answer: LCM of 828, 273, 862, 936, 213 is 4611448296.

2. How to calculate the LCM of 828, 273, 862, 936, 213?

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 828, 273, 862, 936, 213.

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}.