Given numbers are 395,551,517,781,988

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

The LCM of 395,551,517,781,988 is 415432940780.

Find LCM of 395,551,517,781,988 with Prime Factorization

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

11 x 19 x 395 x 29 x 47 x 71 x 52 = 415432940780

Therefore, the lowest common multiple of 395,551,517,781,988 is 415432940780.

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 551 x 517 x 781 x 988 = 86825484623020

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

551 : 1, 19, 29, 551

517 : 1, 11, 47, 517

781 : 1, 11, 71, 781

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,551,517,781,988, is 1.

Now, the common factors can be found like this.

395:5x 79

551:19x 29

517:11x 47

781:11x 71

988:2x 2x 13x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11x 19 = 209

Therefore, the value for common factors is 209.

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 = 86825484623020/(1x209)

LCM = 86825484623020/209

LCM = 415432940780

Thus, we can understand that the LCM of 395,551,517,781,988 is 415432940780.

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

• LCM of 889, 976, 152, 473, 147
• LCM of 784, 134, 179, 717, 530
• LCM of 779, 890, 300, 389, 133
• LCM of 329, 959, 151, 458, 655
• LCM of 554, 367, 261, 245, 416

1. What is the LCM of 395, 551, 517, 781, 988?

Answer: LCM of 395, 551, 517, 781, 988 is 415432940780.

2. How to calculate the LCM of 395, 551, 517, 781, 988?

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, 551, 517, 781, 988.

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}.