Given numbers are 513,171,436,644,424

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

The LCM of 513,171,436,644,424 is 3817118088.

Find LCM of 513,171,436,644,424 with Prime Factorization

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

2 x 2 x 3 x 3 x 19 x 1 x 3 x 109 x 161 x 106 = 3817118088

Therefore, the lowest common multiple of 513,171,436,644,424 is 3817118088.

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 171 x 436 x 644 x 424 = 10443635088768

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

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

436 : 1, 2, 4, 109, 218, 436

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,171,436,644,424, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

171:3x 3x 19

436:2x 2x 109

644:2x 2x 7x 23

424:2x 2x 2x 53

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 2x 3x 3x 19 = 2736

Therefore, the value for common factors is 2736.

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 = 10443635088768/(1x2736)

LCM = 10443635088768/2736

LCM = 3817118088

Thus, we can understand that the LCM of 513,171,436,644,424 is 3817118088.

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

• LCM of 497, 928, 496, 222, 236
• LCM of 373, 461, 172, 388, 407
• LCM of 358, 384, 900, 238, 133
• LCM of 564, 687, 100, 360, 460
• LCM of 800, 617, 660, 196, 851

1. What is the LCM of 513, 171, 436, 644, 424?

Answer: LCM of 513, 171, 436, 644, 424 is 3817118088.

2. How to calculate the LCM of 513, 171, 436, 644, 424?

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, 171, 436, 644, 424.

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}.