Given numbers are 912,742,540,461,612

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

The LCM of 912,742,540,461,612 is 119324908080.

Find LCM of 912,742,540,461,612 with Prime Factorization

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

2 x 2 x 3 x 3 x 76 x 371 x 15 x 461 x 17 = 119324908080

Therefore, the lowest common multiple of 912,742,540,461,612 is 119324908080.

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 742 x 540 x 461 x 612 = 103096720581120

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

742 : 1, 2, 7, 14, 53, 106, 371, 742

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

461 : 1, 461

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,742,540,461,612, is 1.

Now, the common factors can be found like this.

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

742:2x 7x 53

540:2x 2x 3x 3x 3x 5

461:461

612:2x 2x 3x 3x 17

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 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 103096720581120/(1x864)

LCM = 103096720581120/864

LCM = 119324908080

Thus, we can understand that the LCM of 912,742,540,461,612 is 119324908080.

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

• LCM of 215, 379, 781, 434, 388
• LCM of 108, 355, 293, 382, 250
• LCM of 432, 623, 816, 585, 407
• LCM of 295, 628, 698, 113, 425
• LCM of 487, 329, 262, 118, 977

1. What is the LCM of 912, 742, 540, 461, 612?

Answer: LCM of 912, 742, 540, 461, 612 is 119324908080.

2. How to calculate the LCM of 912, 742, 540, 461, 612?

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, 742, 540, 461, 612.

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}.