Given numbers are 513,980,480,550,535

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

The LCM of 513,980,480,550,535 is 23668999200.

Find LCM of 513,980,480,550,535 with Prime Factorization

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

2 x 2 x 3 x 5 x 171 x 49 x 8 x 55 x 107 = 23668999200

Therefore, the lowest common multiple of 513,980,480,550,535 is 23668999200.

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.

513 x 980 x 480 x 550 x 535 = 71006997600000

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

535 : 1, 5, 107, 535

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,980,480,550,535, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

980:2x 2x 5x 7x 7

480:2x 2x 2x 2x 2x 3x 5

550:2x 5x 5x 11

535:5x 107

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 3x 5x 5x 5 = 3000

Therefore, the value for common factors is 3000.

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 = 71006997600000/(1x3000)

LCM = 71006997600000/3000

LCM = 23668999200

Thus, we can understand that the LCM of 513,980,480,550,535 is 23668999200.

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

• LCM of 311, 849, 262, 684, 860
• LCM of 227, 959, 684, 476, 214
• LCM of 498, 741, 181, 681, 321
• LCM of 578, 672, 489, 129, 427
• LCM of 587, 488, 199, 265, 807

1. What is the LCM of 513, 980, 480, 550, 535?

Answer: LCM of 513, 980, 480, 550, 535 is 23668999200.

2. How to calculate the LCM of 513, 980, 480, 550, 535?

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 513, 980, 480, 550, 535.

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}.