Given numbers are 930,214,209,116,113

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

The LCM of 930,214,209,116,113 is 136307404860.

Find LCM of 930,214,209,116,113 with Prime Factorization

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

2 x 465 x 107 x 209 x 58 x 113 = 136307404860

Therefore, the lowest common multiple of 930,214,209,116,113 is 136307404860.

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.

930 x 214 x 209 x 116 x 113 = 545229619440

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.

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

214 : 1, 2, 107, 214

209 : 1, 11, 19, 209

116 : 1, 2, 4, 29, 58, 116

113 : 1, 113

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,214,209,116,113, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

214:2x 107

209:11x 19

116:2x 2x 29

113:113

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 545229619440/(1x4)

LCM = 545229619440/4

LCM = 136307404860

Thus, we can understand that the LCM of 930,214,209,116,113 is 136307404860.

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

• LCM of 348, 305, 985, 698, 499
• LCM of 501, 621, 971, 321, 427
• LCM of 462, 357, 229, 720, 355
• LCM of 361, 303, 815, 648, 886
• LCM of 332, 351, 813, 832, 825

1. What is the LCM of 930, 214, 209, 116, 113?

Answer: LCM of 930, 214, 209, 116, 113 is 136307404860.

2. How to calculate the LCM of 930, 214, 209, 116, 113?

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 930, 214, 209, 116, 113.

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}.