Given numbers are 513,298,596,565,713

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

The LCM of 513,298,596,565,713 is 123169053060.

Find LCM of 513,298,596,565,713 with Prime Factorization

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

2 x 149 x 513 x 1 x 2 x 565 x 713 = 123169053060

Therefore, the lowest common multiple of 513,298,596,565,713 is 123169053060.

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.

513 x 298 x 596 x 565 x 713 = 36704377811880

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

298 : 1, 2, 149, 298

596 : 1, 2, 4, 149, 298, 596

565 : 1, 5, 113, 565

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,298,596,565,713, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

298:2x 149

596:2x 2x 149

565:5x 113

713:23x 31

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

2x 149 = 298

Therefore, the value for common factors is 298.

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 = 36704377811880/(1x298)

LCM = 36704377811880/298

LCM = 123169053060

Thus, we can understand that the LCM of 513,298,596,565,713 is 123169053060.

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

• LCM of 494, 537, 637, 494, 342
• LCM of 689, 465, 214, 208, 716
• LCM of 258, 971, 179, 568, 907
• LCM of 139, 639, 628, 681, 652
• LCM of 664, 768, 680, 632, 621

1. What is the LCM of 513, 298, 596, 565, 713?

Answer: LCM of 513, 298, 596, 565, 713 is 123169053060.

2. How to calculate the LCM of 513, 298, 596, 565, 713?

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 513, 298, 596, 565, 713.

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}.