Given numbers are 362,845,750,133,493

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

The LCM of 362,845,750,133,493 is 1504267605750.

Find LCM of 362,845,750,133,493 with Prime Factorization

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

2 x 5 x 181 x 169 x 75 x 133 x 493 = 1504267605750

Therefore, the lowest common multiple of 362,845,750,133,493 is 1504267605750.

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.

362 x 845 x 750 x 133 x 493 = 15042676057500

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.

362 : 1, 2, 181, 362

845 : 1, 5, 13, 65, 169, 845

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

133 : 1, 7, 19, 133

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,845,750,133,493, is 1.

Now, the common factors can be found like this.

362:2x 181

845:5x 13x 13

750:2x 3x 5x 5x 5

133:7x 19

493:17x 29

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 15042676057500/(1x10)

LCM = 15042676057500/10

LCM = 1504267605750

Thus, we can understand that the LCM of 362,845,750,133,493 is 1504267605750.

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

• LCM of 557, 791, 148, 631, 637
• LCM of 679, 529, 145, 315, 852
• LCM of 643, 268, 779, 750, 322
• LCM of 813, 895, 695, 492, 723
• LCM of 156, 843, 760, 580, 711

1. What is the LCM of 362, 845, 750, 133, 493?

Answer: LCM of 362, 845, 750, 133, 493 is 1504267605750.

2. How to calculate the LCM of 362, 845, 750, 133, 493?

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 362, 845, 750, 133, 493.

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}.