Given numbers are 510,360,127,528,409

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

The LCM of 510,360,127,528,409 is 6993605520.

Find LCM of 510,360,127,528,409 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 17 x 3 x 127 x 22 x 409 = 6993605520

Therefore, the lowest common multiple of 510,360,127,528,409 is 6993605520.

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.

510 x 360 x 127 x 528 x 409 = 5035395974400

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.

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

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

127 : 1, 127

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,360,127,528,409, is 1.

Now, the common factors can be found like this.

510:2x 3x 5x 17

360:2x 2x 2x 3x 3x 5

127:127

528:2x 2x 2x 2x 3x 11

409:409

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 5 = 720

Therefore, the value for common factors is 720.

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 = 5035395974400/(1x720)

LCM = 5035395974400/720

LCM = 6993605520

Thus, we can understand that the LCM of 510,360,127,528,409 is 6993605520.

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

• LCM of 742, 441, 518, 978, 209
• LCM of 326, 847, 510, 106, 587
• LCM of 295, 219, 296, 270, 878
• LCM of 309, 513, 151, 634, 602
• LCM of 799, 642, 595, 651, 900

1. What is the LCM of 510, 360, 127, 528, 409?

Answer: LCM of 510, 360, 127, 528, 409 is 6993605520.

2. How to calculate the LCM of 510, 360, 127, 528, 409?

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 510, 360, 127, 528, 409.

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}.