Given numbers are 798,975,454,616,489

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

The LCM of 798,975,454,616,489 is 422233211400.

Find LCM of 798,975,454,616,489 with Prime Factorization

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

2 x 3 x 7 x 19 x 325 x 227 x 44 x 163 = 422233211400

Therefore, the lowest common multiple of 798,975,454,616,489 is 422233211400.

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.

798 x 975 x 454 x 616 x 489 = 106402769272800

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.

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

454 : 1, 2, 227, 454

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,975,454,616,489, is 1.

Now, the common factors can be found like this.

798:2x 3x 7x 19

975:3x 5x 5x 13

454:2x 227

616:2x 2x 2x 7x 11

489:3x 163

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 3x 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 106402769272800/(1x252)

LCM = 106402769272800/252

LCM = 422233211400

Thus, we can understand that the LCM of 798,975,454,616,489 is 422233211400.

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

• LCM of 146, 457, 329, 801, 670
• LCM of 378, 939, 738, 653, 107
• LCM of 285, 846, 982, 154, 904
• LCM of 434, 138, 122, 379, 250
• LCM of 831, 164, 654, 725, 499

1. What is the LCM of 798, 975, 454, 616, 489?

Answer: LCM of 798, 975, 454, 616, 489 is 422233211400.

2. How to calculate the LCM of 798, 975, 454, 616, 489?

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 798, 975, 454, 616, 489.

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}.