Given numbers are 733,767,416,214

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

The LCM of 733,767,416,214 is 1925010464.

Find LCM of 733,767,416,214 with Prime Factorization

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

2 x 13 x 733 x 59 x 16 x 107 = 1925010464

Therefore, the lowest common multiple of 733,767,416,214 is 1925010464.

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.

733 x 767 x 416 x 214 = 50050272064

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.

733 : 1, 733

767 : 1, 13, 59, 767

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,767,416,214, is 1.

Now, the common factors can be found like this.

733:733

767:13x 59

416:2x 2x 2x 2x 2x 13

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 13 = 26

Therefore, the value for common factors is 26.

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 = 50050272064/(1x26)

LCM = 50050272064/26

LCM = 1925010464

Thus, we can understand that the LCM of 733,767,416,214 is 1925010464.

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

• LCM of 924, 103, 317, 501
• LCM of 290, 812, 692, 150
• LCM of 601, 321, 874, 813
• LCM of 363, 666, 926, 424
• LCM of 549, 223, 202, 783

1. What is the LCM of 733, 767, 416, 214?

Answer: LCM of 733, 767, 416, 214 is 1925010464.

2. How to calculate the LCM of 733, 767, 416, 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 733, 767, 416, 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}.