Given numbers are 742,312,415,722,178

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

The LCM of 742,312,415,722,178 is 1543383343320.

Find LCM of 742,312,415,722,178 with Prime Factorization

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

2 x 371 x 156 x 415 x 361 x 89 = 1543383343320

Therefore, the lowest common multiple of 742,312,415,722,178 is 1543383343320.

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.

742 x 312 x 415 x 722 x 178 = 12347066746560

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.

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

415 : 1, 5, 83, 415

722 : 1, 2, 19, 38, 361, 722

178 : 1, 2, 89, 178

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,312,415,722,178, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

312:2x 2x 2x 3x 13

415:5x 83

722:2x 19x 19

178:2x 89

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 = 12347066746560/(1x8)

LCM = 12347066746560/8

LCM = 1543383343320

Thus, we can understand that the LCM of 742,312,415,722,178 is 1543383343320.

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

• LCM of 242, 267, 956, 558, 795
• LCM of 519, 497, 101, 819, 592
• LCM of 724, 673, 815, 139, 325
• LCM of 878, 806, 141, 790, 423
• LCM of 287, 365, 598, 721, 198

1. What is the LCM of 742, 312, 415, 722, 178?

Answer: LCM of 742, 312, 415, 722, 178 is 1543383343320.

2. How to calculate the LCM of 742, 312, 415, 722, 178?

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 742, 312, 415, 722, 178.

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}.