Given numbers are 214,291,620,592

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

The LCM of 214,291,620,592 is 2857131120.

Find LCM of 214,291,620,592 with Prime Factorization

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

2 x 2 x 107 x 291 x 155 x 148 = 2857131120

Therefore, the lowest common multiple of 214,291,620,592 is 2857131120.

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 291 x 620 x 592 = 22857048960

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

291 : 1, 3, 97, 291

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,291,620,592, is 1.

Now, the common factors can be found like this.

214:2x 107

291:3x 97

620:2x 2x 5x 31

592:2x 2x 2x 2x 37

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 2 = 8

Therefore, the value for common factors is 8.

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 = 22857048960/(1x8)

LCM = 22857048960/8

LCM = 2857131120

Thus, we can understand that the LCM of 214,291,620,592 is 2857131120.

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

• LCM of 612, 936, 129, 423
• LCM of 211, 894, 310, 459
• LCM of 565, 795, 209, 405
• LCM of 189, 113, 256, 257
• LCM of 503, 787, 296, 330

1. What is the LCM of 214, 291, 620, 592?

Answer: LCM of 214, 291, 620, 592 is 2857131120.

2. How to calculate the LCM of 214, 291, 620, 592?

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, 291, 620, 592.

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}.