Given numbers are 199,624,310,160,970

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

The LCM of 199,624,310,160,970 is 3733972320.

Find LCM of 199,624,310,160,970 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 199 x 39 x 31 x 2 x 97 = 3733972320

Therefore, the lowest common multiple of 199,624,310,160,970 is 3733972320.

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.

199 x 624 x 310 x 160 x 970 = 5974355712000

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.

199 : 1, 199

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

310 : 1, 2, 5, 10, 31, 62, 155, 310

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

970 : 1, 2, 5, 10, 97, 194, 485, 970

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,624,310,160,970, is 1.

Now, the common factors can be found like this.

199:199

624:2x 2x 2x 2x 3x 13

310:2x 5x 31

160:2x 2x 2x 2x 2x 5

970:2x 5x 97

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 2x 5x 5 = 1600

Therefore, the value for common factors is 1600.

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 = 5974355712000/(1x1600)

LCM = 5974355712000/1600

LCM = 3733972320

Thus, we can understand that the LCM of 199,624,310,160,970 is 3733972320.

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

• LCM of 349, 508, 496, 404, 585
• LCM of 346, 358, 495, 287, 583
• LCM of 888, 848, 350, 544, 323
• LCM of 371, 778, 997, 343, 179
• LCM of 485, 553, 619, 421, 425

1. What is the LCM of 199, 624, 310, 160, 970?

Answer: LCM of 199, 624, 310, 160, 970 is 3733972320.

2. How to calculate the LCM of 199, 624, 310, 160, 970?

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 199, 624, 310, 160, 970.

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}.