Given numbers are 513,354,107,624,372

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

The LCM of 513,354,107,624,372 is 20882292912.

Find LCM of 513,354,107,624,372 with Prime Factorization

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

2 x 2 x 3 x 171 x 59 x 107 x 52 x 31 = 20882292912

Therefore, the lowest common multiple of 513,354,107,624,372 is 20882292912.

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 354 x 107 x 624 x 372 = 4510575268992

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

354 : 1, 2, 3, 6, 59, 118, 177, 354

107 : 1, 107

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

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,354,107,624,372, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

354:2x 3x 59

107:107

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

372:2x 2x 3x 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 2x 2x 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 4510575268992/(1x216)

LCM = 4510575268992/216

LCM = 20882292912

Thus, we can understand that the LCM of 513,354,107,624,372 is 20882292912.

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

• LCM of 769, 936, 293, 285, 111
• LCM of 704, 779, 664, 109, 191
• LCM of 748, 570, 532, 761, 135
• LCM of 441, 886, 738, 516, 425
• LCM of 951, 281, 143, 842, 370

1. What is the LCM of 513, 354, 107, 624, 372?

Answer: LCM of 513, 354, 107, 624, 372 is 20882292912.

2. How to calculate the LCM of 513, 354, 107, 624, 372?

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, 354, 107, 624, 372.

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}.