Given numbers are 706,723,936,642

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

The LCM of 706,723,936,642 is 8520231096.

Find LCM of 706,723,936,642 with Prime Factorization

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

2 x 3 x 353 x 241 x 156 x 107 = 8520231096

Therefore, the lowest common multiple of 706,723,936,642 is 8520231096.

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.

706 x 723 x 936 x 642 = 306728319456

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.

706 : 1, 2, 353, 706

723 : 1, 3, 241, 723

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,723,936,642, is 1.

Now, the common factors can be found like this.

706:2x 353

723:3x 241

936:2x 2x 2x 3x 3x 13

642:2x 3x 107

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 306728319456/(1x36)

LCM = 306728319456/36

LCM = 8520231096

Thus, we can understand that the LCM of 706,723,936,642 is 8520231096.

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

• LCM of 481, 992, 692, 987
• LCM of 993, 507, 153, 943
• LCM of 285, 607, 691, 553
• LCM of 862, 323, 448, 501
• LCM of 589, 217, 132, 720

1. What is the LCM of 706, 723, 936, 642?

Answer: LCM of 706, 723, 936, 642 is 8520231096.

2. How to calculate the LCM of 706, 723, 936, 642?

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 706, 723, 936, 642.

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}.