Given numbers are 213,507,228,920,895

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

The LCM of 213,507,228,920,895 is 112631733240.

Find LCM of 213,507,228,920,895 with Prime Factorization

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

2 x 2 x 3 x 5 x 71 x 169 x 19 x 46 x 179 = 112631733240

Therefore, the lowest common multiple of 213,507,228,920,895 is 112631733240.

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.

213 x 507 x 228 x 920 x 895 = 20273711983200

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.

213 : 1, 3, 71, 213

507 : 1, 3, 13, 39, 169, 507

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

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

895 : 1, 5, 179, 895

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,507,228,920,895, is 1.

Now, the common factors can be found like this.

213:3x 71

507:3x 13x 13

228:2x 2x 3x 19

920:2x 2x 2x 5x 23

895:5x 179

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 20273711983200/(1x180)

LCM = 20273711983200/180

LCM = 112631733240

Thus, we can understand that the LCM of 213,507,228,920,895 is 112631733240.

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

• LCM of 184, 564, 274, 633, 962
• LCM of 956, 732, 584, 499, 960
• LCM of 317, 926, 839, 512, 811
• LCM of 499, 581, 316, 417, 437
• LCM of 999, 594, 308, 410, 863

1. What is the LCM of 213, 507, 228, 920, 895?

Answer: LCM of 213, 507, 228, 920, 895 is 112631733240.

2. How to calculate the LCM of 213, 507, 228, 920, 895?

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 213, 507, 228, 920, 895.

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}.