Given numbers are 457,686,344,916

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

The LCM of 457,686,344,916 is 12348216776.

Find LCM of 457,686,344,916 with Prime Factorization

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

2 x 2 x 457 x 343 x 86 x 229 = 12348216776

Therefore, the lowest common multiple of 457,686,344,916 is 12348216776.

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.

457 x 686 x 344 x 916 = 98785734208

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.

457 : 1, 457

686 : 1, 2, 7, 14, 49, 98, 343, 686

344 : 1, 2, 4, 8, 43, 86, 172, 344

916 : 1, 2, 4, 229, 458, 916

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,686,344,916, is 1.

Now, the common factors can be found like this.

457:457

686:2x 7x 7x 7

344:2x 2x 2x 43

916:2x 2x 229

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 2 = 8

Therefore, the value for common factors is 8.

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 = 98785734208/(1x8)

LCM = 98785734208/8

LCM = 12348216776

Thus, we can understand that the LCM of 457,686,344,916 is 12348216776.

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

• LCM of 484, 626, 171, 373
• LCM of 532, 801, 144, 912
• LCM of 621, 133, 545, 910
• LCM of 753, 954, 645, 125
• LCM of 688, 885, 707, 811

1. What is the LCM of 457, 686, 344, 916?

Answer: LCM of 457, 686, 344, 916 is 12348216776.

2. How to calculate the LCM of 457, 686, 344, 916?

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 457, 686, 344, 916.

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}.