Given numbers are 949,455,600,428,715

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

The LCM of 949,455,600,428,715 is 4691286600.

Find LCM of 949,455,600,428,715 with Prime Factorization

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

2 x 2 x 5 x 13 x 73 x 7 x 30 x 107 x 11 = 4691286600

Therefore, the lowest common multiple of 949,455,600,428,715 is 4691286600.

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.

949 x 455 x 600 x 428 x 715 = 79282743540000

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.

949 : 1, 13, 73, 949

455 : 1, 5, 7, 13, 35, 65, 91, 455

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

428 : 1, 2, 4, 107, 214, 428

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,455,600,428,715, is 1.

Now, the common factors can be found like this.

949:13x 73

455:5x 7x 13

600:2x 2x 2x 3x 5x 5

428:2x 2x 107

715:5x 11x 13

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 5x 5x 13x 13 = 16900

Therefore, the value for common factors is 16900.

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 = 79282743540000/(1x16900)

LCM = 79282743540000/16900

LCM = 4691286600

Thus, we can understand that the LCM of 949,455,600,428,715 is 4691286600.

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

• LCM of 451, 385, 165, 450, 611
• LCM of 105, 203, 791, 899, 336
• LCM of 400, 137, 306, 545, 625
• LCM of 974, 837, 261, 979, 658
• LCM of 979, 151, 443, 436, 598

1. What is the LCM of 949, 455, 600, 428, 715?

Answer: LCM of 949, 455, 600, 428, 715 is 4691286600.

2. How to calculate the LCM of 949, 455, 600, 428, 715?

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 949, 455, 600, 428, 715.

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}.