Given numbers are 194,319,220,496,364

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

The LCM of 194,319,220,496,364 is 6983216240.

Find LCM of 194,319,220,496,364 with Prime Factorization

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

2 x 2 x 11 x 97 x 29 x 5 x 124 x 91 = 6983216240

Therefore, the lowest common multiple of 194,319,220,496,364 is 6983216240.

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.

194 x 319 x 220 x 496 x 364 = 2458092116480

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.

194 : 1, 2, 97, 194

319 : 1, 11, 29, 319

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 194,319,220,496,364, is 1.

Now, the common factors can be found like this.

194:2x 97

319:11x 29

220:2x 2x 5x 11

496:2x 2x 2x 2x 31

364:2x 2x 7x 13

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 2x 2x 2x 11 = 352

Therefore, the value for common factors is 352.

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 = 2458092116480/(1x352)

LCM = 2458092116480/352

LCM = 6983216240

Thus, we can understand that the LCM of 194,319,220,496,364 is 6983216240.

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

• LCM of 942, 547, 858, 828, 736
• LCM of 931, 524, 464, 112, 867
• LCM of 873, 900, 943, 690, 845
• LCM of 652, 156, 725, 368, 989
• LCM of 417, 872, 587, 362, 626

1. What is the LCM of 194, 319, 220, 496, 364?

Answer: LCM of 194, 319, 220, 496, 364 is 6983216240.

2. How to calculate the LCM of 194, 319, 220, 496, 364?

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 194, 319, 220, 496, 364.

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}.