Given numbers are 310,490,472,270,650

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

The LCM of 310,490,472,270,650 is 6291394200.

Find LCM of 310,490,472,270,650 with Prime Factorization

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

2 x 5 x 31 x 49 x 236 x 27 x 65 = 6291394200

Therefore, the lowest common multiple of 310,490,472,270,650 is 6291394200.

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.

310 x 490 x 472 x 270 x 650 = 12582788400000

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

472 : 1, 2, 4, 8, 59, 118, 236, 472

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,490,472,270,650, is 2.

Now, the common factors can be found like this.

310:2x 5x 31

490:2x 5x 7x 7

472:2x 2x 2x 59

270:2x 3x 3x 3x 5

650:2x 5x 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 5x 5x 5 = 1000

Therefore, the value for common factors is 1000.

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 = 12582788400000/(2x1000)

LCM = 12582788400000/2000

LCM = 6291394200

Thus, we can understand that the LCM of 310,490,472,270,650 is 6291394200.

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

• LCM of 782, 664, 878, 963, 136
• LCM of 627, 443, 527, 576, 522
• LCM of 208, 924, 459, 942, 930
• LCM of 776, 731, 421, 317, 955
• LCM of 217, 410, 148, 725, 944

1. What is the LCM of 310, 490, 472, 270, 650?

Answer: LCM of 310, 490, 472, 270, 650 is 6291394200.

2. How to calculate the LCM of 310, 490, 472, 270, 650?

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 310, 490, 472, 270, 650.

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}.