Given numbers are 395,692,478,242,731

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

The LCM of 395,692,478,242,731 is 5778349925260.

Find LCM of 395,692,478,242,731 with Prime Factorization

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

2 x 395 x 346 x 239 x 121 x 731 = 5778349925260

Therefore, the lowest common multiple of 395,692,478,242,731 is 5778349925260.

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 692 x 478 x 242 x 731 = 23113399701040

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

692 : 1, 2, 4, 173, 346, 692

478 : 1, 2, 239, 478

242 : 1, 2, 11, 22, 121, 242

731 : 1, 17, 43, 731

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,692,478,242,731, is 1.

Now, the common factors can be found like this.

395:5x 79

692:2x 2x 173

478:2x 239

242:2x 11x 11

731:17x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 23113399701040/(1x4)

LCM = 23113399701040/4

LCM = 5778349925260

Thus, we can understand that the LCM of 395,692,478,242,731 is 5778349925260.

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

• LCM of 273, 100, 826, 933, 882
• LCM of 631, 749, 118, 995, 983
• LCM of 477, 921, 592, 359, 199
• LCM of 723, 953, 379, 584, 287
• LCM of 447, 203, 111, 139, 198

1. What is the LCM of 395, 692, 478, 242, 731?

Answer: LCM of 395, 692, 478, 242, 731 is 5778349925260.

2. How to calculate the LCM of 395, 692, 478, 242, 731?

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, 692, 478, 242, 731.

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}.