Given numbers are 395,125,374,488,510

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

The LCM of 395,125,374,488,510 is 2703459000.

Find LCM of 395,125,374,488,510 with Prime Factorization

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

2 x 5 x 17 x 79 x 25 x 11 x 244 x 3 = 2703459000

Therefore, the lowest common multiple of 395,125,374,488,510 is 2703459000.

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.

395 x 125 x 374 x 488 x 510 = 4595880300000

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.

395 : 1, 5, 79, 395

125 : 1, 5, 25, 125

374 : 1, 2, 11, 17, 22, 34, 187, 374

488 : 1, 2, 4, 8, 61, 122, 244, 488

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,125,374,488,510, is 1.

Now, the common factors can be found like this.

395:5x 79

125:5x 5x 5

374:2x 11x 17

488:2x 2x 2x 61

510:2x 3x 5x 17

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 5x 5x 17 = 1700

Therefore, the value for common factors is 1700.

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 = 4595880300000/(1x1700)

LCM = 4595880300000/1700

LCM = 2703459000

Thus, we can understand that the LCM of 395,125,374,488,510 is 2703459000.

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

• LCM of 540, 467, 291, 721, 168
• LCM of 142, 569, 718, 407, 504
• LCM of 779, 631, 427, 751, 854
• LCM of 674, 223, 956, 834, 716
• LCM of 446, 435, 374, 441, 552

1. What is the LCM of 395, 125, 374, 488, 510?

Answer: LCM of 395, 125, 374, 488, 510 is 2703459000.

2. How to calculate the LCM of 395, 125, 374, 488, 510?

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 395, 125, 374, 488, 510.

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}.