Given numbers are 936,552,838,988,418

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

The LCM of 936,552,838,988,418 is 1885228488.

Find LCM of 936,552,838,988,418 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 19 x 3 x 23 x 419 x 1 x 11 = 1885228488

Therefore, the lowest common multiple of 936,552,838,988,418 is 1885228488.

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.

936 x 552 x 838 x 988 x 418 = 178810151629824

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.

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

838 : 1, 2, 419, 838

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

418 : 1, 2, 11, 19, 22, 38, 209, 418

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,552,838,988,418, is 2.

Now, the common factors can be found like this.

936:2x 2x 2x 3x 3x 13

552:2x 2x 2x 3x 23

838:2x 419

988:2x 2x 13x 19

418:2x 11x 19

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 2x 2x 3x 13x 19 = 47424

Therefore, the value for common factors is 47424.

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 = 178810151629824/(2x47424)

LCM = 178810151629824/94848

LCM = 1885228488

Thus, we can understand that the LCM of 936,552,838,988,418 is 1885228488.

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

• LCM of 899, 564, 425, 766, 620
• LCM of 897, 710, 744, 553, 241
• LCM of 622, 333, 844, 640, 864
• LCM of 922, 798, 299, 725, 575
• LCM of 792, 532, 364, 318, 632

1. What is the LCM of 936, 552, 838, 988, 418?

Answer: LCM of 936, 552, 838, 988, 418 is 1885228488.

2. How to calculate the LCM of 936, 552, 838, 988, 418?

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 936, 552, 838, 988, 418.

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}.