Given numbers are 728,946,160,214

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

The LCM of 728,946,160,214 is 736896160.

Find LCM of 728,946,160,214 with Prime Factorization

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

2 x 2 x 2 x 91 x 473 x 20 x 107 = 736896160

Therefore, the lowest common multiple of 728,946,160,214 is 736896160.

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.

728 x 946 x 160 x 214 = 23580677120

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.

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

946 : 1, 2, 11, 22, 43, 86, 473, 946

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,946,160,214, is 2.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

946:2x 11x 43

160:2x 2x 2x 2x 2x 5

214:2x 107

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 23580677120/(2x16)

LCM = 23580677120/32

LCM = 736896160

Thus, we can understand that the LCM of 728,946,160,214 is 736896160.

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

• LCM of 284, 632, 644, 900
• LCM of 518, 188, 951, 425
• LCM of 511, 906, 347, 317
• LCM of 453, 556, 971, 103
• LCM of 709, 558, 545, 649

1. What is the LCM of 728, 946, 160, 214?

Answer: LCM of 728, 946, 160, 214 is 736896160.

2. How to calculate the LCM of 728, 946, 160, 214?

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 728, 946, 160, 214.

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}.