Given numbers are 980,165,304,750,460

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

The LCM of 980,165,304,750,460 is 1413258000.

Find LCM of 980,165,304,750,460 with Prime Factorization

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

2 x 2 x 3 x 5 x 49 x 11 x 76 x 25 x 23 = 1413258000

Therefore, the lowest common multiple of 980,165,304,750,460 is 1413258000.

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.

980 x 165 x 304 x 750 x 460 = 16959096000000

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.

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

165 : 1, 3, 5, 11, 15, 33, 55, 165

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,165,304,750,460, is 1.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

165:3x 5x 11

304:2x 2x 2x 2x 19

750:2x 3x 5x 5x 5

460:2x 2x 5x 23

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 2x 3x 5x 5x 5 = 12000

Therefore, the value for common factors is 12000.

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 = 16959096000000/(1x12000)

LCM = 16959096000000/12000

LCM = 1413258000

Thus, we can understand that the LCM of 980,165,304,750,460 is 1413258000.

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

• LCM of 105, 104, 553, 896, 623
• LCM of 371, 814, 392, 430, 462
• LCM of 428, 183, 802, 639, 643
• LCM of 565, 748, 442, 168, 634
• LCM of 159, 280, 305, 218, 147

1. What is the LCM of 980, 165, 304, 750, 460?

Answer: LCM of 980, 165, 304, 750, 460 is 1413258000.

2. How to calculate the LCM of 980, 165, 304, 750, 460?

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 980, 165, 304, 750, 460.

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}.