Given numbers are 912,310,124,216

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

The LCM of 912,310,124,216 is 1272240.

Find LCM of 912,310,124,216 with Prime Factorization

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

2 x 2 x 2 x 3 x 31 x 38 x 5 x 1 x 9 = 1272240

Therefore, the lowest common multiple of 912,310,124,216 is 1272240.

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.

912 x 310 x 124 x 216 = 7572372480

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.

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

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

124 : 1, 2, 4, 31, 62, 124

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,310,124,216, is 2.

Now, the common factors can be found like this.

912:2x 2x 2x 2x 3x 19

310:2x 5x 31

124:2x 2x 31

216:2x 2x 2x 3x 3x 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 2x 2x 3x 31 = 2976

Therefore, the value for common factors is 2976.

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 = 7572372480/(2x2976)

LCM = 7572372480/5952

LCM = 1272240

Thus, we can understand that the LCM of 912,310,124,216 is 1272240.

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

• LCM of 781, 787, 436, 476
• LCM of 275, 407, 623, 555
• LCM of 682, 754, 899, 178
• LCM of 989, 136, 235, 932
• LCM of 657, 350, 978, 900

1. What is the LCM of 912, 310, 124, 216?

Answer: LCM of 912, 310, 124, 216 is 1272240.

2. How to calculate the LCM of 912, 310, 124, 216?

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 912, 310, 124, 216.

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}.