Given numbers are 402,103,643,894,660

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

The LCM of 402,103,643,894,660 is 436368310620.

Find LCM of 402,103,643,894,660 with Prime Factorization

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

2 x 3 x 67 x 103 x 643 x 149 x 110 = 436368310620

Therefore, the lowest common multiple of 402,103,643,894,660 is 436368310620.

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.

402 x 103 x 643 x 894 x 660 = 15709259182320

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

103 : 1, 103

643 : 1, 643

894 : 1, 2, 3, 6, 149, 298, 447, 894

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 402,103,643,894,660, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

103:103

643:643

894:2x 3x 149

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 3 = 36

Therefore, the value for common factors is 36.

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 = 15709259182320/(1x36)

LCM = 15709259182320/36

LCM = 436368310620

Thus, we can understand that the LCM of 402,103,643,894,660 is 436368310620.

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

• LCM of 973, 567, 888, 375, 689
• LCM of 540, 768, 866, 419, 859
• LCM of 551, 826, 253, 438, 666
• LCM of 652, 746, 741, 435, 510
• LCM of 277, 317, 976, 309, 783

1. What is the LCM of 402, 103, 643, 894, 660?

Answer: LCM of 402, 103, 643, 894, 660 is 436368310620.

2. How to calculate the LCM of 402, 103, 643, 894, 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 402, 103, 643, 894, 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}.