Given numbers are 214,310,832,372

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

The LCM of 214,310,832,372 is 41396160.

Find LCM of 214,310,832,372 with Prime Factorization

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

2 x 2 x 31 x 107 x 5 x 208 x 3 = 41396160

Therefore, the lowest common multiple of 214,310,832,372 is 41396160.

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 310 x 832 x 372 = 20532495360

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

310 : 1, 2, 5, 10, 31, 62, 155, 310

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,310,832,372, is 2.

Now, the common factors can be found like this.

214:2x 107

310:2x 5x 31

832:2x 2x 2x 2x 2x 2x 13

372:2x 2x 3x 31

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 31 = 248

Therefore, the value for common factors is 248.

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 = 20532495360/(2x248)

LCM = 20532495360/496

LCM = 41396160

Thus, we can understand that the LCM of 214,310,832,372 is 41396160.

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

• LCM of 391, 617, 720, 563
• LCM of 196, 176, 715, 688
• LCM of 359, 528, 933, 141
• LCM of 740, 915, 770, 288
• LCM of 441, 119, 657, 813

1. What is the LCM of 214, 310, 832, 372?

Answer: LCM of 214, 310, 832, 372 is 41396160.

2. How to calculate the LCM of 214, 310, 832, 372?

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, 310, 832, 372.

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}.