Given numbers are 285,343,128,393,660

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

The LCM of 285,343,128,393,660 is 18030714240.

Find LCM of 285,343,128,393,660 with Prime Factorization

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

2 x 2 x 3 x 5 x 19 x 343 x 32 x 131 x 11 = 18030714240

Therefore, the lowest common multiple of 285,343,128,393,660 is 18030714240.

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.

285 x 343 x 128 x 393 x 660 = 3245528563200

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.

285 : 1, 3, 5, 15, 19, 57, 95, 285

343 : 1, 7, 49, 343

128 : 1, 2, 4, 8, 16, 32, 64, 128

393 : 1, 3, 131, 393

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,343,128,393,660, is 1.

Now, the common factors can be found like this.

285:3x 5x 19

343:7x 7x 7

128:2x 2x 2x 2x 2x 2x 2

393:3x 131

660:2x 2x 3x 5x 11

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 3245528563200/(1x180)

LCM = 3245528563200/180

LCM = 18030714240

Thus, we can understand that the LCM of 285,343,128,393,660 is 18030714240.

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

• LCM of 976, 278, 452, 526, 724
• LCM of 894, 359, 732, 537, 126
• LCM of 323, 495, 316, 601, 456
• LCM of 263, 666, 376, 919, 936
• LCM of 475, 148, 625, 672, 648

1. What is the LCM of 285, 343, 128, 393, 660?

Answer: LCM of 285, 343, 128, 393, 660 is 18030714240.

2. How to calculate the LCM of 285, 343, 128, 393, 660?

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 285, 343, 128, 393, 660.

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}.