Given numbers are 544,145,430,440,518

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

The LCM of 544,145,430,440,518 is 9663352160.

Find LCM of 544,145,430,440,518 with Prime Factorization

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

2 x 2 x 2 x 5 x 68 x 29 x 43 x 11 x 259 = 9663352160

Therefore, the lowest common multiple of 544,145,430,440,518 is 9663352160.

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.

544 x 145 x 430 x 440 x 518 = 7730681728000

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.

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

145 : 1, 5, 29, 145

430 : 1, 2, 5, 10, 43, 86, 215, 430

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

518 : 1, 2, 7, 14, 37, 74, 259, 518

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,145,430,440,518, is 1.

Now, the common factors can be found like this.

544:2x 2x 2x 2x 2x 17

145:5x 29

430:2x 5x 43

440:2x 2x 2x 5x 11

518:2x 7x 37

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 2x 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 7730681728000/(1x800)

LCM = 7730681728000/800

LCM = 9663352160

Thus, we can understand that the LCM of 544,145,430,440,518 is 9663352160.

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

• LCM of 809, 183, 508, 729, 736
• LCM of 290, 240, 399, 350, 656
• LCM of 944, 577, 707, 134, 858
• LCM of 978, 510, 349, 140, 588
• LCM of 269, 549, 555, 226, 181

1. What is the LCM of 544, 145, 430, 440, 518?

Answer: LCM of 544, 145, 430, 440, 518 is 9663352160.

2. How to calculate the LCM of 544, 145, 430, 440, 518?

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 544, 145, 430, 440, 518.

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}.