Given numbers are 290,227,164,440,780

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

The LCM of 290,227,164,440,780 is 4631535480.

Find LCM of 290,227,164,440,780 with Prime Factorization

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

2 x 2 x 5 x 29 x 227 x 41 x 22 x 39 = 4631535480

Therefore, the lowest common multiple of 290,227,164,440,780 is 4631535480.

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.

290 x 227 x 164 x 440 x 780 = 3705228384000

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

227 : 1, 227

164 : 1, 2, 4, 41, 82, 164

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

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,227,164,440,780, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

227:227

164:2x 2x 41

440:2x 2x 2x 5x 11

780:2x 2x 3x 5x 13

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 = 3705228384000/(1x800)

LCM = 3705228384000/800

LCM = 4631535480

Thus, we can understand that the LCM of 290,227,164,440,780 is 4631535480.

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

• LCM of 408, 463, 570, 456, 223
• LCM of 343, 679, 296, 518, 976
• LCM of 398, 297, 496, 614, 635
• LCM of 688, 402, 755, 904, 439
• LCM of 800, 662, 390, 872, 147

1. What is the LCM of 290, 227, 164, 440, 780?

Answer: LCM of 290, 227, 164, 440, 780 is 4631535480.

2. How to calculate the LCM of 290, 227, 164, 440, 780?

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 290, 227, 164, 440, 780.

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}.