Given numbers are 307,864,790,146,750

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

The LCM of 307,864,790,146,750 is 191210652000.

Find LCM of 307,864,790,146,750 with Prime Factorization

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

2 x 3 x 5 x 307 x 144 x 79 x 73 x 25 = 191210652000

Therefore, the lowest common multiple of 307,864,790,146,750 is 191210652000.

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.

307 x 864 x 790 x 146 x 750 = 22945278240000

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.

307 : 1, 307

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

790 : 1, 2, 5, 10, 79, 158, 395, 790

146 : 1, 2, 73, 146

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,864,790,146,750, is 1.

Now, the common factors can be found like this.

307:307

864:2x 2x 2x 2x 2x 3x 3x 3

790:2x 5x 79

146:2x 73

750:2x 3x 5x 5x 5

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 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 22945278240000/(1x120)

LCM = 22945278240000/120

LCM = 191210652000

Thus, we can understand that the LCM of 307,864,790,146,750 is 191210652000.

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

• LCM of 569, 597, 632, 314, 666
• LCM of 632, 594, 850, 611, 589
• LCM of 464, 129, 645, 514, 683
• LCM of 562, 988, 948, 544, 628
• LCM of 652, 961, 720, 575, 855

1. What is the LCM of 307, 864, 790, 146, 750?

Answer: LCM of 307, 864, 790, 146, 750 is 191210652000.

2. How to calculate the LCM of 307, 864, 790, 146, 750?

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 307, 864, 790, 146, 750.

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}.