Given numbers are 468,798,150,870,520

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

The LCM of 468,798,150,870,520 is 90253800.

Find LCM of 468,798,150,870,520 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 3 x 133 x 5 x 29 x 2 = 90253800

Therefore, the lowest common multiple of 468,798,150,870,520 is 90253800.

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.

468 x 798 x 150 x 870 x 520 = 25343267040000

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,798,150,870,520, is 2.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

798:2x 3x 7x 19

150:2x 3x 5x 5

870:2x 3x 5x 29

520:2x 2x 2x 5x 13

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 2x 3x 3x 3x 5x 5x 13 = 140400

Therefore, the value for common factors is 140400.

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 = 25343267040000/(2x140400)

LCM = 25343267040000/280800

LCM = 90253800

Thus, we can understand that the LCM of 468,798,150,870,520 is 90253800.

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

• LCM of 903, 103, 120, 116, 189
• LCM of 927, 605, 231, 878, 979
• LCM of 546, 721, 971, 875, 129
• LCM of 839, 988, 645, 170, 940
• LCM of 173, 723, 590, 300, 927

1. What is the LCM of 468, 798, 150, 870, 520?

Answer: LCM of 468, 798, 150, 870, 520 is 90253800.

2. How to calculate the LCM of 468, 798, 150, 870, 520?

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 468, 798, 150, 870, 520.

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}.