Given numbers are 338,169,532,190,115

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

The LCM of 338,169,532,190,115 is 10339420.

Find LCM of 338,169,532,190,115 with Prime Factorization

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

2 x 5 x 13 x 13 x 19 x 1 x 1 x 14 x 1 x 23 = 10339420

Therefore, the lowest common multiple of 338,169,532,190,115 is 10339420.

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.

338 x 169 x 532 x 190 x 115 = 663997552400

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.

338 : 1, 2, 13, 26, 169, 338

169 : 1, 13, 169

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

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

115 : 1, 5, 23, 115

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,169,532,190,115, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

169:13x 13

532:2x 2x 7x 19

190:2x 5x 19

115:5x 23

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 5x 13x 13x 19 = 64220

Therefore, the value for common factors is 64220.

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 = 663997552400/(1x64220)

LCM = 663997552400/64220

LCM = 10339420

Thus, we can understand that the LCM of 338,169,532,190,115 is 10339420.

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

• LCM of 302, 228, 863, 488, 599
• LCM of 387, 657, 546, 991, 545
• LCM of 145, 630, 168, 498, 887
• LCM of 796, 630, 732, 755, 517
• LCM of 689, 652, 123, 802, 327

1. What is the LCM of 338, 169, 532, 190, 115?

Answer: LCM of 338, 169, 532, 190, 115 is 10339420.

2. How to calculate the LCM of 338, 169, 532, 190, 115?

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 338, 169, 532, 190, 115.

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}.