Given numbers are 290,674,789,742,912

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

The LCM of 290,674,789,742,912 is 4348329036240.

Find LCM of 290,674,789,742,912 with Prime Factorization

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

2 x 3 x 145 x 337 x 263 x 371 x 152 = 4348329036240

Therefore, the lowest common multiple of 290,674,789,742,912 is 4348329036240.

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.

290 x 674 x 789 x 742 x 912 = 104359896869760

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.

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

674 : 1, 2, 337, 674

789 : 1, 3, 263, 789

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,674,789,742,912, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

674:2x 337

789:3x 263

742:2x 7x 53

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 3 = 24

Therefore, the value for common factors is 24.

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 = 104359896869760/(1x24)

LCM = 104359896869760/24

LCM = 4348329036240

Thus, we can understand that the LCM of 290,674,789,742,912 is 4348329036240.

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

• LCM of 216, 462, 284, 413, 771
• LCM of 304, 426, 870, 804, 386
• LCM of 153, 364, 375, 161, 371
• LCM of 995, 882, 458, 999, 296
• LCM of 407, 142, 493, 599, 513

1. What is the LCM of 290, 674, 789, 742, 912?

Answer: LCM of 290, 674, 789, 742, 912 is 4348329036240.

2. How to calculate the LCM of 290, 674, 789, 742, 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 290, 674, 789, 742, 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}.