Given numbers are 460,966,130,870,950

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

The LCM of 460,966,130,870,950 is 345972900.

Find LCM of 460,966,130,870,950 with Prime Factorization

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

2 x 3 x 5 x 23 x 2 x 7 x 13 x 29 x 95 = 345972900

Therefore, the lowest common multiple of 460,966,130,870,950 is 345972900.

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.

460 x 966 x 130 x 870 x 950 = 47744260200000

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

130 : 1, 2, 5, 10, 13, 26, 65, 130

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

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,966,130,870,950, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

966:2x 3x 7x 23

130:2x 5x 13

870:2x 3x 5x 29

950:2x 5x 5x 19

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 5x 23 = 69000

Therefore, the value for common factors is 69000.

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 = 47744260200000/(2x69000)

LCM = 47744260200000/138000

LCM = 345972900

Thus, we can understand that the LCM of 460,966,130,870,950 is 345972900.

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

• LCM of 541, 636, 409, 735, 637
• LCM of 278, 966, 853, 220, 815
• LCM of 199, 542, 489, 592, 523
• LCM of 535, 516, 599, 620, 265
• LCM of 599, 382, 949, 761, 659

1. What is the LCM of 460, 966, 130, 870, 950?

Answer: LCM of 460, 966, 130, 870, 950 is 345972900.

2. How to calculate the LCM of 460, 966, 130, 870, 950?

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 460, 966, 130, 870, 950.

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}.