Given numbers are 290,524,330,277,130

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

The LCM of 290,524,330,277,130 is 9028931340.

Find LCM of 290,524,330,277,130 with Prime Factorization

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

2 x 5 x 29 x 262 x 33 x 277 x 13 = 9028931340

Therefore, the lowest common multiple of 290,524,330,277,130 is 9028931340.

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 524 x 330 x 277 x 130 = 1805786268000

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

524 : 1, 2, 4, 131, 262, 524

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

277 : 1, 277

130 : 1, 2, 5, 10, 13, 26, 65, 130

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,524,330,277,130, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

524:2x 2x 131

330:2x 3x 5x 11

277:277

130:2x 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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 1805786268000/(1x200)

LCM = 1805786268000/200

LCM = 9028931340

Thus, we can understand that the LCM of 290,524,330,277,130 is 9028931340.

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

• LCM of 295, 171, 999, 996, 567
• LCM of 231, 516, 339, 911, 335
• LCM of 564, 120, 853, 154, 678
• LCM of 112, 906, 419, 355, 396
• LCM of 178, 933, 871, 417, 742

1. What is the LCM of 290, 524, 330, 277, 130?

Answer: LCM of 290, 524, 330, 277, 130 is 9028931340.

2. How to calculate the LCM of 290, 524, 330, 277, 130?

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, 524, 330, 277, 130.

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}.