Given numbers are 567,642,614,229

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

The LCM of 567,642,614,229 is 8530425414.

Find LCM of 567,642,614,229 with Prime Factorization

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

2 x 3 x 189 x 107 x 307 x 229 = 8530425414

Therefore, the lowest common multiple of 567,642,614,229 is 8530425414.

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.

567 x 642 x 614 x 229 = 51182552484

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.

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

642 : 1, 2, 3, 6, 107, 214, 321, 642

614 : 1, 2, 307, 614

229 : 1, 229

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,642,614,229, is 1.

Now, the common factors can be found like this.

567:3x 3x 3x 3x 7

642:2x 3x 107

614:2x 307

229:229

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 51182552484/(1x6)

LCM = 51182552484/6

LCM = 8530425414

Thus, we can understand that the LCM of 567,642,614,229 is 8530425414.

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

• LCM of 780, 599, 592, 292
• LCM of 625, 823, 850, 488
• LCM of 622, 409, 125, 782
• LCM of 847, 550, 237, 301
• LCM of 995, 267, 413, 879

1. What is the LCM of 567, 642, 614, 229?

Answer: LCM of 567, 642, 614, 229 is 8530425414.

2. How to calculate the LCM of 567, 642, 614, 229?

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 567, 642, 614, 229.

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}.