Given numbers are 395,520,221,340,193

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

The LCM of 395,520,221,340,193 is 134783480.

Find LCM of 395,520,221,340,193 with Prime Factorization

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

2 x 2 x 5 x 13 x 17 x 79 x 2 x 1 x 1 x 193 = 134783480

Therefore, the lowest common multiple of 395,520,221,340,193 is 134783480.

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.

395 x 520 x 221 x 340 x 193 = 2978714908000

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.

395 : 1, 5, 79, 395

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

221 : 1, 13, 17, 221

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

193 : 1, 193

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,520,221,340,193, is 1.

Now, the common factors can be found like this.

395:5x 79

520:2x 2x 2x 5x 13

221:13x 17

340:2x 2x 5x 17

193:193

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 5x 13x 17 = 22100

Therefore, the value for common factors is 22100.

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 = 2978714908000/(1x22100)

LCM = 2978714908000/22100

LCM = 134783480

Thus, we can understand that the LCM of 395,520,221,340,193 is 134783480.

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

• LCM of 778, 754, 856, 493, 184
• LCM of 774, 447, 117, 693, 718
• LCM of 763, 505, 542, 161, 372
• LCM of 220, 428, 939, 636, 100
• LCM of 456, 608, 532, 456, 844

1. What is the LCM of 395, 520, 221, 340, 193?

Answer: LCM of 395, 520, 221, 340, 193 is 134783480.

2. How to calculate the LCM of 395, 520, 221, 340, 193?

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 395, 520, 221, 340, 193.

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}.