Given numbers are 214,921,143,590

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

The LCM of 214,921,143,590 is 8314410390.

Find LCM of 214,921,143,590 with Prime Factorization

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

2 x 107 x 921 x 143 x 295 = 8314410390

Therefore, the lowest common multiple of 214,921,143,590 is 8314410390.

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 921 x 143 x 590 = 16628820780

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

921 : 1, 3, 307, 921

143 : 1, 11, 13, 143

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,921,143,590, is 1.

Now, the common factors can be found like this.

214:2x 107

921:3x 307

143:11x 13

590:2x 5x 59

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 16628820780/(1x2)

LCM = 16628820780/2

LCM = 8314410390

Thus, we can understand that the LCM of 214,921,143,590 is 8314410390.

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

• LCM of 364, 854, 332, 199
• LCM of 955, 455, 333, 366
• LCM of 624, 223, 569, 401
• LCM of 839, 565, 470, 750
• LCM of 101, 637, 281, 945

1. What is the LCM of 214, 921, 143, 590?

Answer: LCM of 214, 921, 143, 590 is 8314410390.

2. How to calculate the LCM of 214, 921, 143, 590?

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, 921, 143, 590.

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}.