Given numbers are 517,190,700,838,486

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

The LCM of 517,190,700,838,486 is 700103873700.

Find LCM of 517,190,700,838,486 with Prime Factorization

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

2 x 5 x 517 x 19 x 70 x 419 x 243 = 700103873700

Therefore, the lowest common multiple of 517,190,700,838,486 is 700103873700.

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.

517 x 190 x 700 x 838 x 486 = 28004154948000

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.

517 : 1, 11, 47, 517

190 : 1, 2, 5, 10, 19, 38, 95, 190

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

838 : 1, 2, 419, 838

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,190,700,838,486, is 1.

Now, the common factors can be found like this.

517:11x 47

190:2x 5x 19

700:2x 2x 5x 5x 7

838:2x 419

486:2x 3x 3x 3x 3x 3

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 2x 5 = 40

Therefore, the value for common factors is 40.

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 = 28004154948000/(1x40)

LCM = 28004154948000/40

LCM = 700103873700

Thus, we can understand that the LCM of 517,190,700,838,486 is 700103873700.

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

• LCM of 565, 303, 861, 496, 579
• LCM of 758, 278, 101, 504, 638
• LCM of 766, 659, 284, 139, 934
• LCM of 179, 523, 710, 300, 668
• LCM of 699, 280, 373, 663, 326

1. What is the LCM of 517, 190, 700, 838, 486?

Answer: LCM of 517, 190, 700, 838, 486 is 700103873700.

2. How to calculate the LCM of 517, 190, 700, 838, 486?

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 517, 190, 700, 838, 486.

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}.