Given numbers are 410,554,510,468,130

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

The LCM of 410,554,510,468,130 is 451781460.

Find LCM of 410,554,510,468,130 with Prime Factorization

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

2 x 3 x 5 x 13 x 41 x 277 x 17 x 6 x 1 = 451781460

Therefore, the lowest common multiple of 410,554,510,468,130 is 451781460.

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.

410 x 554 x 510 x 468 x 130 = 7047790776000

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.

410 : 1, 2, 5, 10, 41, 82, 205, 410

554 : 1, 2, 277, 554

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 410,554,510,468,130, is 2.

Now, the common factors can be found like this.

410:2x 5x 41

554:2x 277

510:2x 3x 5x 17

468:2x 2x 3x 3x 13

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 3x 5x 5x 13 = 7800

Therefore, the value for common factors is 7800.

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 = 7047790776000/(2x7800)

LCM = 7047790776000/15600

LCM = 451781460

Thus, we can understand that the LCM of 410,554,510,468,130 is 451781460.

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

• LCM of 484, 584, 410, 360, 211
• LCM of 218, 707, 535, 672, 659
• LCM of 806, 175, 668, 103, 718
• LCM of 487, 780, 406, 155, 720
• LCM of 512, 930, 402, 682, 538

1. What is the LCM of 410, 554, 510, 468, 130?

Answer: LCM of 410, 554, 510, 468, 130 is 451781460.

2. How to calculate the LCM of 410, 554, 510, 468, 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 410, 554, 510, 468, 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}.