Given numbers are 649,305,814,728

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

The LCM of 649,305,814,728 is 5331846520.

Find LCM of 649,305,814,728 with Prime Factorization

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

2 x 11 x 59 x 305 x 37 x 364 = 5331846520

Therefore, the lowest common multiple of 649,305,814,728 is 5331846520.

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.

649 x 305 x 814 x 728 = 117300623440

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.

649 : 1, 11, 59, 649

305 : 1, 5, 61, 305

814 : 1, 2, 11, 22, 37, 74, 407, 814

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,305,814,728, is 1.

Now, the common factors can be found like this.

649:11x 59

305:5x 61

814:2x 11x 37

728:2x 2x 2x 7x 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 11 = 22

Therefore, the value for common factors is 22.

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 = 117300623440/(1x22)

LCM = 117300623440/22

LCM = 5331846520

Thus, we can understand that the LCM of 649,305,814,728 is 5331846520.

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

• LCM of 915, 600, 172, 547
• LCM of 781, 409, 548, 680
• LCM of 511, 193, 729, 489
• LCM of 913, 953, 453, 950
• LCM of 178, 752, 301, 780

1. What is the LCM of 649, 305, 814, 728?

Answer: LCM of 649, 305, 814, 728 is 5331846520.

2. How to calculate the LCM of 649, 305, 814, 728?

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 649, 305, 814, 728.

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}.