Given numbers are 488,841,414

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

The LCM of 488,841,414 is 84954456.

Find LCM of 488,841,414 with Prime Factorization

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

2 x 244 x 841 x 207 = 84954456

Therefore, the lowest common multiple of 488,841,414 is 84954456.

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.

488 x 841 x 414 = 169908912

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

841 : 1, 29, 841

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,841,414, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

841:29x 29

414:2x 3x 3x 23

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 = 169908912/(1x2)

LCM = 169908912/2

LCM = 84954456

Thus, we can understand that the LCM of 488,841,414 is 84954456.

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

• LCM of 218, 519, 149
• LCM of 355, 736, 334
• LCM of 699, 906, 409
• LCM of 469, 186, 314
• LCM of 102, 751, 649

1. What is the LCM of 488, 841, 414?

Answer: LCM of 488, 841, 414 is 84954456.

2. How to calculate the LCM of 488, 841, 414?

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 488, 841, 414.

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}.