Given numbers are 327,413,343,756,260

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

The LCM of 327,413,343,756,260 is 15484947660.

Find LCM of 327,413,343,756,260 with Prime Factorization

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

2 x 2 x 3 x 7 x 109 x 59 x 49 x 9 x 65 = 15484947660

Therefore, the lowest common multiple of 327,413,343,756,260 is 15484947660.

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.

327 x 413 x 343 x 756 x 260 = 9105149224080

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.

327 : 1, 3, 109, 327

413 : 1, 7, 59, 413

343 : 1, 7, 49, 343

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,413,343,756,260, is 1.

Now, the common factors can be found like this.

327:3x 109

413:7x 59

343:7x 7x 7

756:2x 2x 3x 3x 3x 7

260:2x 2x 5x 13

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 7x 7 = 588

Therefore, the value for common factors is 588.

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 = 9105149224080/(1x588)

LCM = 9105149224080/588

LCM = 15484947660

Thus, we can understand that the LCM of 327,413,343,756,260 is 15484947660.

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

• LCM of 808, 212, 650, 684, 868
• LCM of 978, 630, 893, 986, 739
• LCM of 381, 393, 953, 568, 863
• LCM of 814, 603, 597, 384, 497
• LCM of 595, 609, 261, 152, 588

1. What is the LCM of 327, 413, 343, 756, 260?

Answer: LCM of 327, 413, 343, 756, 260 is 15484947660.

2. How to calculate the LCM of 327, 413, 343, 756, 260?

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 327, 413, 343, 756, 260.

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}.