Given numbers are 536,104,290,912

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

The LCM of 536,104,290,912 is 115181040.

Find LCM of 536,104,290,912 with Prime Factorization

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

2 x 2 x 2 x 67 x 13 x 145 x 114 = 115181040

Therefore, the lowest common multiple of 536,104,290,912 is 115181040.

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.

536 x 104 x 290 x 912 = 14743173120

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.

536 : 1, 2, 4, 8, 67, 134, 268, 536

104 : 1, 2, 4, 8, 13, 26, 52, 104

290 : 1, 2, 5, 10, 29, 58, 145, 290

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,104,290,912, is 2.

Now, the common factors can be found like this.

536:2x 2x 2x 67

104:2x 2x 2x 13

290:2x 5x 29

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

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 2 = 64

Therefore, the value for common factors is 64.

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 = 14743173120/(2x64)

LCM = 14743173120/128

LCM = 115181040

Thus, we can understand that the LCM of 536,104,290,912 is 115181040.

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

• LCM of 838, 451, 421, 915
• LCM of 661, 439, 375, 712
• LCM of 149, 390, 779, 192
• LCM of 213, 331, 611, 736
• LCM of 833, 647, 599, 788

1. What is the LCM of 536, 104, 290, 912?

Answer: LCM of 536, 104, 290, 912 is 115181040.

2. How to calculate the LCM of 536, 104, 290, 912?

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 536, 104, 290, 912.

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}.