Given numbers are 600,696,728,460,199

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

The LCM of 600,696,728,460,199 is 7247221800.

Find LCM of 600,696,728,460,199 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 5 x 29 x 91 x 23 x 199 = 7247221800

Therefore, the lowest common multiple of 600,696,728,460,199 is 7247221800.

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.

600 x 696 x 728 x 460 x 199 = 27829331712000

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.

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

199 : 1, 199

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 600,696,728,460,199, is 1.

Now, the common factors can be found like this.

600:2x 2x 2x 3x 5x 5

696:2x 2x 2x 3x 29

728:2x 2x 2x 7x 13

460:2x 2x 5x 23

199:199

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 2x 2x 3x 5 = 3840

Therefore, the value for common factors is 3840.

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 = 27829331712000/(1x3840)

LCM = 27829331712000/3840

LCM = 7247221800

Thus, we can understand that the LCM of 600,696,728,460,199 is 7247221800.

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

• LCM of 936, 782, 919, 529, 472
• LCM of 875, 688, 593, 807, 129
• LCM of 797, 614, 644, 723, 358
• LCM of 880, 520, 310, 758, 182
• LCM of 190, 222, 114, 927, 494

1. What is the LCM of 600, 696, 728, 460, 199?

Answer: LCM of 600, 696, 728, 460, 199 is 7247221800.

2. How to calculate the LCM of 600, 696, 728, 460, 199?

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 600, 696, 728, 460, 199.

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}.