Given numbers are 622,160,490,214

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

The LCM of 622,160,490,214 is 260891680.

Find LCM of 622,160,490,214 with Prime Factorization

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

2 x 5 x 311 x 16 x 49 x 107 = 260891680

Therefore, the lowest common multiple of 622,160,490,214 is 260891680.

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.

622 x 160 x 490 x 214 = 10435667200

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.

622 : 1, 2, 311, 622

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 622,160,490,214, is 2.

Now, the common factors can be found like this.

622:2x 311

160:2x 2x 2x 2x 2x 5

490:2x 5x 7x 7

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 2x 5 = 20

Therefore, the value for common factors is 20.

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 = 10435667200/(2x20)

LCM = 10435667200/40

LCM = 260891680

Thus, we can understand that the LCM of 622,160,490,214 is 260891680.

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

• LCM of 158, 829, 297, 256
• LCM of 483, 356, 453, 175
• LCM of 735, 957, 771, 135
• LCM of 974, 676, 363, 472
• LCM of 484, 763, 435, 800

1. What is the LCM of 622, 160, 490, 214?

Answer: LCM of 622, 160, 490, 214 is 260891680.

2. How to calculate the LCM of 622, 160, 490, 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 622, 160, 490, 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}.