Given numbers are 464,656,791,517

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

The LCM of 464,656,791,517 is 7779807728.

Find LCM of 464,656,791,517 with Prime Factorization

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

2 x 2 x 2 x 2 x 29 x 41 x 791 x 517 = 7779807728

Therefore, the lowest common multiple of 464,656,791,517 is 7779807728.

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.

464 x 656 x 791 x 517 = 124476923648

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

791 : 1, 7, 113, 791

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,656,791,517, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

656:2x 2x 2x 2x 41

791:7x 113

517:11x 47

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 2 = 16

Therefore, the value for common factors is 16.

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 = 124476923648/(1x16)

LCM = 124476923648/16

LCM = 7779807728

Thus, we can understand that the LCM of 464,656,791,517 is 7779807728.

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

• LCM of 565, 998, 751, 360
• LCM of 651, 262, 583, 956
• LCM of 703, 470, 162, 947
• LCM of 733, 648, 726, 287
• LCM of 910, 116, 719, 431

1. What is the LCM of 464, 656, 791, 517?

Answer: LCM of 464, 656, 791, 517 is 7779807728.

2. How to calculate the LCM of 464, 656, 791, 517?

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 464, 656, 791, 517.

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}.