Given numbers are 432,973,613,742

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

The LCM of 432,973,613,742 is 13656296304.

Find LCM of 432,973,613,742 with Prime Factorization

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

2 x 7 x 216 x 139 x 613 x 53 = 13656296304

Therefore, the lowest common multiple of 432,973,613,742 is 13656296304.

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.

432 x 973 x 613 x 742 = 191188148256

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.

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

973 : 1, 7, 139, 973

613 : 1, 613

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,973,613,742, is 1.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

973:7x 139

613:613

742:2x 7x 53

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 191188148256/(1x14)

LCM = 191188148256/14

LCM = 13656296304

Thus, we can understand that the LCM of 432,973,613,742 is 13656296304.

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

• LCM of 301, 766, 763, 458
• LCM of 291, 876, 766, 730
• LCM of 863, 645, 104, 884
• LCM of 553, 954, 452, 405
• LCM of 221, 341, 423, 906

1. What is the LCM of 432, 973, 613, 742?

Answer: LCM of 432, 973, 613, 742 is 13656296304.

2. How to calculate the LCM of 432, 973, 613, 742?

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 432, 973, 613, 742.

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}.