Given numbers are 307,478,642,733,689

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

The LCM of 307,478,642,733,689 is 23790003232242.

Find LCM of 307,478,642,733,689 with Prime Factorization

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

2 x 307 x 239 x 321 x 733 x 689 = 23790003232242

Therefore, the lowest common multiple of 307,478,642,733,689 is 23790003232242.

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.

307 x 478 x 642 x 733 x 689 = 47580006464484

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.

307 : 1, 307

478 : 1, 2, 239, 478

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

733 : 1, 733

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,478,642,733,689, is 1.

Now, the common factors can be found like this.

307:307

478:2x 239

642:2x 3x 107

733:733

689:13x 53

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

2 = 2

Therefore, the value for common factors is 2.

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 = 47580006464484/(1x2)

LCM = 47580006464484/2

LCM = 23790003232242

Thus, we can understand that the LCM of 307,478,642,733,689 is 23790003232242.

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

• LCM of 116, 590, 363, 320, 294
• LCM of 962, 615, 780, 690, 967
• LCM of 436, 980, 400, 649, 204
• LCM of 540, 139, 359, 650, 908
• LCM of 386, 623, 519, 963, 274

1. What is the LCM of 307, 478, 642, 733, 689?

Answer: LCM of 307, 478, 642, 733, 689 is 23790003232242.

2. How to calculate the LCM of 307, 478, 642, 733, 689?

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 307, 478, 642, 733, 689.

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}.