Given numbers are 314,118,190,404,218

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

The LCM of 314,118,190,404,218 is 38751019460.

Find LCM of 314,118,190,404,218 with Prime Factorization

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

2 x 157 x 59 x 95 x 202 x 109 = 38751019460

Therefore, the lowest common multiple of 314,118,190,404,218 is 38751019460.

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.

314 x 118 x 190 x 404 x 218 = 620016311360

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.

314 : 1, 2, 157, 314

118 : 1, 2, 59, 118

190 : 1, 2, 5, 10, 19, 38, 95, 190

404 : 1, 2, 4, 101, 202, 404

218 : 1, 2, 109, 218

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,118,190,404,218, is 2.

Now, the common factors can be found like this.

314:2x 157

118:2x 59

190:2x 5x 19

404:2x 2x 101

218:2x 109

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 = 620016311360/(2x8)

LCM = 620016311360/16

LCM = 38751019460

Thus, we can understand that the LCM of 314,118,190,404,218 is 38751019460.

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

• LCM of 886, 684, 670, 980, 476
• LCM of 696, 434, 900, 833, 640
• LCM of 402, 308, 749, 913, 230
• LCM of 189, 858, 734, 270, 608
• LCM of 968, 434, 304, 618, 885

1. What is the LCM of 314, 118, 190, 404, 218?

Answer: LCM of 314, 118, 190, 404, 218 is 38751019460.

2. How to calculate the LCM of 314, 118, 190, 404, 218?

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 314, 118, 190, 404, 218.

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}.