Given numbers are 510,131,554,917,392

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

The LCM of 510,131,554,917,392 is 3627248520.

Find LCM of 510,131,554,917,392 with Prime Factorization

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

2 x 7 x 131 x 255 x 1 x 277 x 1 x 28 = 3627248520

Therefore, the lowest common multiple of 510,131,554,917,392 is 3627248520.

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 131 x 554 x 917 x 392 = 13304747571360

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

131 : 1, 131

554 : 1, 2, 277, 554

917 : 1, 7, 131, 917

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,131,554,917,392, is 1.

Now, the common factors can be found like this.

510:2x 3x 5x 17

131:131

554:2x 277

917:7x 131

392:2x 2x 2x 7x 7

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 7x 131 = 3668

Therefore, the value for common factors is 3668.

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 = 13304747571360/(1x3668)

LCM = 13304747571360/3668

LCM = 3627248520

Thus, we can understand that the LCM of 510,131,554,917,392 is 3627248520.

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

• LCM of 992, 580, 523, 303, 168
• LCM of 366, 430, 513, 998, 537
• LCM of 765, 940, 492, 188, 923
• LCM of 624, 296, 951, 469, 321
• LCM of 231, 213, 818, 207, 463

1. What is the LCM of 510, 131, 554, 917, 392?

Answer: LCM of 510, 131, 554, 917, 392 is 3627248520.

2. How to calculate the LCM of 510, 131, 554, 917, 392?

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, 131, 554, 917, 392.

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}.