Given numbers are 498,409,883,414

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

The LCM of 498,409,883,414 is 12409733214.

Find LCM of 498,409,883,414 with Prime Factorization

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

2 x 3 x 83 x 409 x 883 x 69 = 12409733214

Therefore, the lowest common multiple of 498,409,883,414 is 12409733214.

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.

498 x 409 x 883 x 414 = 74458399284

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.

498 : 1, 2, 3, 6, 83, 166, 249, 498

409 : 1, 409

883 : 1, 883

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 498,409,883,414, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

409:409

883:883

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.

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 = 74458399284/(1x6)

LCM = 74458399284/6

LCM = 12409733214

Thus, we can understand that the LCM of 498,409,883,414 is 12409733214.

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

• LCM of 474, 442, 174, 755
• LCM of 962, 880, 206, 123
• LCM of 775, 195, 689, 416
• LCM of 281, 944, 996, 411
• LCM of 671, 980, 987, 532

1. What is the LCM of 498, 409, 883, 414?

Answer: LCM of 498, 409, 883, 414 is 12409733214.

2. How to calculate the LCM of 498, 409, 883, 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 498, 409, 883, 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}.