Given numbers are 564,895,214,107

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

The LCM of 564,895,214,107 is 54011460.

Find LCM of 564,895,214,107 with Prime Factorization

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

2 x 107 x 282 x 895 x 1 x 1 = 54011460

Therefore, the lowest common multiple of 564,895,214,107 is 54011460.

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.

564 x 895 x 214 x 107 = 11558452440

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

895 : 1, 5, 179, 895

214 : 1, 2, 107, 214

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,895,214,107, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

895:5x 179

214:2x 107

107:107

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 11558452440/(1x214)

LCM = 11558452440/214

LCM = 54011460

Thus, we can understand that the LCM of 564,895,214,107 is 54011460.

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

• LCM of 690, 917, 141, 820
• LCM of 478, 960, 827, 129
• LCM of 879, 233, 538, 481
• LCM of 885, 386, 319, 486
• LCM of 434, 792, 475, 989

1. What is the LCM of 564, 895, 214, 107?

Answer: LCM of 564, 895, 214, 107 is 54011460.

2. How to calculate the LCM of 564, 895, 214, 107?

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 564, 895, 214, 107.

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}.