Given numbers are 364,612,871,397,935

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

The LCM of 364,612,871,397,935 is 81474332940.

Find LCM of 364,612,871,397,935 with Prime Factorization

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

2 x 2 x 13 x 17 x 7 x 9 x 67 x 397 x 55 = 81474332940

Therefore, the lowest common multiple of 364,612,871,397,935 is 81474332940.

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.

364 x 612 x 871 x 397 x 935 = 72023310318960

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

871 : 1, 13, 67, 871

397 : 1, 397

935 : 1, 5, 11, 17, 55, 85, 187, 935

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,612,871,397,935, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

612:2x 2x 3x 3x 17

871:13x 67

397:397

935:5x 11x 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 13x 17 = 884

Therefore, the value for common factors is 884.

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 = 72023310318960/(1x884)

LCM = 72023310318960/884

LCM = 81474332940

Thus, we can understand that the LCM of 364,612,871,397,935 is 81474332940.

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

• LCM of 673, 964, 775, 755, 549
• LCM of 984, 850, 398, 657, 684
• LCM of 684, 640, 421, 719, 408
• LCM of 306, 754, 182, 772, 324
• LCM of 406, 504, 710, 921, 653

1. What is the LCM of 364, 612, 871, 397, 935?

Answer: LCM of 364, 612, 871, 397, 935 is 81474332940.

2. How to calculate the LCM of 364, 612, 871, 397, 935?

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 364, 612, 871, 397, 935.

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}.