Given numbers are 414,772,961,493

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

The LCM of 414,772,961,493 is 75710820492.

Find LCM of 414,772,961,493 with Prime Factorization

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

2 x 207 x 386 x 961 x 493 = 75710820492

Therefore, the lowest common multiple of 414,772,961,493 is 75710820492.

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.

414 x 772 x 961 x 493 = 151421640984

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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

961 : 1, 31, 961

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,772,961,493, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

772:2x 2x 193

961:31x 31

493:17x 29

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

2 = 2

Therefore, the value for common factors is 2.

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 = 151421640984/(1x2)

LCM = 151421640984/2

LCM = 75710820492

Thus, we can understand that the LCM of 414,772,961,493 is 75710820492.

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

• LCM of 710, 766, 221, 554
• LCM of 823, 173, 569, 362
• LCM of 873, 456, 255, 407
• LCM of 658, 527, 196, 838
• LCM of 225, 192, 770, 373

1. What is the LCM of 414, 772, 961, 493?

Answer: LCM of 414, 772, 961, 493 is 75710820492.

2. How to calculate the LCM of 414, 772, 961, 493?

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 414, 772, 961, 493.

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}.