Given numbers are 513,102,624,107

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

The LCM of 513,102,624,107 is 194094576.

Find LCM of 513,102,624,107 with Prime Factorization

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

2 x 3 x 171 x 17 x 104 x 107 = 194094576

Therefore, the lowest common multiple of 513,102,624,107 is 194094576.

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 102 x 624 x 107 = 3493702368

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

102 : 1, 2, 3, 6, 17, 34, 51, 102

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

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,102,624,107, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

102:2x 3x 17

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

107:107

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 3493702368/(1x18)

LCM = 3493702368/18

LCM = 194094576

Thus, we can understand that the LCM of 513,102,624,107 is 194094576.

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

• LCM of 655, 507, 594, 862
• LCM of 478, 530, 303, 557
• LCM of 658, 621, 746, 332
• LCM of 576, 962, 265, 741
• LCM of 874, 223, 263, 280

1. What is the LCM of 513, 102, 624, 107?

Answer: LCM of 513, 102, 624, 107 is 194094576.

2. How to calculate the LCM of 513, 102, 624, 107?

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, 102, 624, 107.

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}.