Given numbers are 214,791,616,880

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

The LCM of 214,791,616,880 is 74480560.

Find LCM of 214,791,616,880 with Prime Factorization

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

2 x 2 x 2 x 7 x 11 x 107 x 113 x 1 x 10 = 74480560

Therefore, the lowest common multiple of 214,791,616,880 is 74480560.

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.

214 x 791 x 616 x 880 = 91760049920

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.

214 : 1, 2, 107, 214

791 : 1, 7, 113, 791

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,791,616,880, is 1.

Now, the common factors can be found like this.

214:2x 107

791:7x 113

616:2x 2x 2x 7x 11

880:2x 2x 2x 2x 5x 11

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 2x 7x 11 = 1232

Therefore, the value for common factors is 1232.

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 = 91760049920/(1x1232)

LCM = 91760049920/1232

LCM = 74480560

Thus, we can understand that the LCM of 214,791,616,880 is 74480560.

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

• LCM of 179, 675, 600, 467
• LCM of 744, 887, 722, 679
• LCM of 561, 808, 583, 628
• LCM of 388, 712, 667, 488
• LCM of 270, 404, 554, 941

1. What is the LCM of 214, 791, 616, 880?

Answer: LCM of 214, 791, 616, 880 is 74480560.

2. How to calculate the LCM of 214, 791, 616, 880?

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 214, 791, 616, 880.

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}.