Given numbers are 702,184,596,742

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

The LCM of 702,184,596,742 is 3570138936.

Find LCM of 702,184,596,742 with Prime Factorization

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

2 x 2 x 351 x 46 x 149 x 371 = 3570138936

Therefore, the lowest common multiple of 702,184,596,742 is 3570138936.

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.

702 x 184 x 596 x 742 = 57122222976

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.

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

184 : 1, 2, 4, 8, 23, 46, 92, 184

596 : 1, 2, 4, 149, 298, 596

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,184,596,742, is 2.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

184:2x 2x 2x 23

596:2x 2x 149

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 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 57122222976/(2x8)

LCM = 57122222976/16

LCM = 3570138936

Thus, we can understand that the LCM of 702,184,596,742 is 3570138936.

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

• LCM of 782, 294, 416, 791
• LCM of 484, 745, 659, 297
• LCM of 156, 887, 382, 807
• LCM of 307, 602, 294, 170
• LCM of 134, 147, 929, 781

1. What is the LCM of 702, 184, 596, 742?

Answer: LCM of 702, 184, 596, 742 is 3570138936.

2. How to calculate the LCM of 702, 184, 596, 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 702, 184, 596, 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}.