Given numbers are 395,368,748,806,742

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

The LCM of 395,368,748,806,742 is 4064110210160.

Find LCM of 395,368,748,806,742 with Prime Factorization

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

2 x 2 x 395 x 92 x 187 x 403 x 371 = 4064110210160

Therefore, the lowest common multiple of 395,368,748,806,742 is 4064110210160.

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.

395 x 368 x 748 x 806 x 742 = 65025763362560

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.

395 : 1, 5, 79, 395

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

806 : 1, 2, 13, 26, 31, 62, 403, 806

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,368,748,806,742, is 1.

Now, the common factors can be found like this.

395:5x 79

368:2x 2x 2x 2x 23

748:2x 2x 11x 17

806:2x 13x 31

742:2x 7x 53

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 2 = 16

Therefore, the value for common factors is 16.

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 = 65025763362560/(1x16)

LCM = 65025763362560/16

LCM = 4064110210160

Thus, we can understand that the LCM of 395,368,748,806,742 is 4064110210160.

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

• LCM of 919, 568, 992, 893, 159
• LCM of 149, 194, 766, 193, 117
• LCM of 983, 494, 525, 996, 241
• LCM of 816, 650, 563, 138, 225
• LCM of 678, 164, 353, 434, 249

1. What is the LCM of 395, 368, 748, 806, 742?

Answer: LCM of 395, 368, 748, 806, 742 is 4064110210160.

2. How to calculate the LCM of 395, 368, 748, 806, 742?

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 395, 368, 748, 806, 742.

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}.