Given numbers are 283,407,247,312

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

The LCM of 283,407,247,312 is 682792968.

Find LCM of 283,407,247,312 with Prime Factorization

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

13 x 283 x 407 x 19 x 24 = 682792968

Therefore, the lowest common multiple of 283,407,247,312 is 682792968.

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.

283 x 407 x 247 x 312 = 8876308584

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.

283 : 1, 283

407 : 1, 11, 37, 407

247 : 1, 13, 19, 247

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,407,247,312, is 1.

Now, the common factors can be found like this.

283:283

407:11x 37

247:13x 19

312:2x 2x 2x 3x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13 = 13

Therefore, the value for common factors is 13.

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 = 8876308584/(1x13)

LCM = 8876308584/13

LCM = 682792968

Thus, we can understand that the LCM of 283,407,247,312 is 682792968.

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

• LCM of 992, 959, 737, 313
• LCM of 240, 769, 882, 352
• LCM of 596, 232, 844, 170
• LCM of 583, 728, 139, 566
• LCM of 231, 299, 629, 969

1. What is the LCM of 283, 407, 247, 312?

Answer: LCM of 283, 407, 247, 312 is 682792968.

2. How to calculate the LCM of 283, 407, 247, 312?

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 283, 407, 247, 312.

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}.