Given numbers are 431,705,961,772,306

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

The LCM of 431,705,961,772,306 is 11496807276660.

Find LCM of 431,705,961,772,306 with Prime Factorization

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

2 x 3 x 431 x 235 x 961 x 386 x 51 = 11496807276660

Therefore, the lowest common multiple of 431,705,961,772,306 is 11496807276660.

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.

431 x 705 x 961 x 772 x 306 = 68980843659960

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.

431 : 1, 431

705 : 1, 3, 5, 15, 47, 141, 235, 705

961 : 1, 31, 961

772 : 1, 2, 4, 193, 386, 772

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,705,961,772,306, is 1.

Now, the common factors can be found like this.

431:431

705:3x 5x 47

961:31x 31

772:2x 2x 193

306:2x 3x 3x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 68980843659960/(1x6)

LCM = 68980843659960/6

LCM = 11496807276660

Thus, we can understand that the LCM of 431,705,961,772,306 is 11496807276660.

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

• LCM of 555, 235, 543, 262, 915
• LCM of 177, 439, 625, 300, 333
• LCM of 446, 885, 978, 200, 265
• LCM of 260, 776, 294, 667, 205
• LCM of 774, 781, 517, 497, 441

1. What is the LCM of 431, 705, 961, 772, 306?

Answer: LCM of 431, 705, 961, 772, 306 is 11496807276660.

2. How to calculate the LCM of 431, 705, 961, 772, 306?

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 431, 705, 961, 772, 306.

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}.