Given numbers are 906,310,924,870

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

The LCM of 906,310,924,870 is 627160380.

Find LCM of 906,310,924,870 with Prime Factorization

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

2 x 3 x 5 x 151 x 31 x 154 x 29 = 627160380

Therefore, the lowest common multiple of 906,310,924,870 is 627160380.

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.

906 x 310 x 924 x 870 = 225777736800

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.

906 : 1, 2, 3, 6, 151, 302, 453, 906

310 : 1, 2, 5, 10, 31, 62, 155, 310

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,310,924,870, is 2.

Now, the common factors can be found like this.

906:2x 3x 151

310:2x 5x 31

924:2x 2x 3x 7x 11

870:2x 3x 5x 29

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 = 225777736800/(2x180)

LCM = 225777736800/360

LCM = 627160380

Thus, we can understand that the LCM of 906,310,924,870 is 627160380.

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

• LCM of 439, 572, 616, 679
• LCM of 512, 896, 633, 422
• LCM of 667, 822, 684, 173
• LCM of 729, 793, 933, 148
• LCM of 488, 746, 228, 788

1. What is the LCM of 906, 310, 924, 870?

Answer: LCM of 906, 310, 924, 870 is 627160380.

2. How to calculate the LCM of 906, 310, 924, 870?

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 906, 310, 924, 870.

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}.