Given numbers are 395,312,387,910,532

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

The LCM of 395,312,387,910,532 is 2114428680.

Find LCM of 395,312,387,910,532 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 13 x 79 x 2 x 129 x 1 x 19 = 2114428680

Therefore, the lowest common multiple of 395,312,387,910,532 is 2114428680.

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 312 x 387 x 910 x 532 = 23089561185600

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

387 : 1, 3, 9, 43, 129, 387

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,312,387,910,532, is 1.

Now, the common factors can be found like this.

395:5x 79

312:2x 2x 2x 3x 13

387:3x 3x 43

910:2x 5x 7x 13

532:2x 2x 7x 19

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 3x 5x 7x 13 = 10920

Therefore, the value for common factors is 10920.

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 = 23089561185600/(1x10920)

LCM = 23089561185600/10920

LCM = 2114428680

Thus, we can understand that the LCM of 395,312,387,910,532 is 2114428680.

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

• LCM of 185, 624, 216, 802, 977
• LCM of 759, 399, 264, 558, 329
• LCM of 613, 367, 325, 983, 436
• LCM of 935, 666, 980, 535, 970
• LCM of 475, 207, 229, 993, 365

1. What is the LCM of 395, 312, 387, 910, 532?

Answer: LCM of 395, 312, 387, 910, 532 is 2114428680.

2. How to calculate the LCM of 395, 312, 387, 910, 532?

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, 312, 387, 910, 532.

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}.