Given numbers are 513,624,596,570

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

The LCM of 513,624,596,570 is 79494480.

Find LCM of 513,624,596,570 with Prime Factorization

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

2 x 2 x 3 x 19 x 9 x 52 x 149 x 5 = 79494480

Therefore, the lowest common multiple of 513,624,596,570 is 79494480.

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 624 x 596 x 570 = 108748448640

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

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

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,624,596,570, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

624:2x 2x 2x 2x 3x 13

596:2x 2x 149

570:2x 3x 5x 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 3x 19 = 1368

Therefore, the value for common factors is 1368.

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 = 108748448640/(1x1368)

LCM = 108748448640/1368

LCM = 79494480

Thus, we can understand that the LCM of 513,624,596,570 is 79494480.

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

• LCM of 877, 795, 658, 935
• LCM of 965, 766, 245, 419
• LCM of 940, 924, 734, 137
• LCM of 828, 639, 777, 666
• LCM of 739, 627, 978, 914

1. What is the LCM of 513, 624, 596, 570?

Answer: LCM of 513, 624, 596, 570 is 79494480.

2. How to calculate the LCM of 513, 624, 596, 570?

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, 624, 596, 570.

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}.