Given numbers are 850,560,354,507,993

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

The LCM of 850,560,354,507,993 is 471297262800.

Find LCM of 850,560,354,507,993 with Prime Factorization

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

2 x 3 x 5 x 85 x 56 x 59 x 169 x 331 = 471297262800

Therefore, the lowest common multiple of 850,560,354,507,993 is 471297262800.

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.

850 x 560 x 354 x 507 x 993 = 84833507304000

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.

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

354 : 1, 2, 3, 6, 59, 118, 177, 354

507 : 1, 3, 13, 39, 169, 507

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 850,560,354,507,993, is 1.

Now, the common factors can be found like this.

850:2x 5x 5x 17

560:2x 2x 2x 2x 5x 7

354:2x 3x 59

507:3x 13x 13

993:3x 331

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 84833507304000/(1x180)

LCM = 84833507304000/180

LCM = 471297262800

Thus, we can understand that the LCM of 850,560,354,507,993 is 471297262800.

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

• LCM of 303, 311, 628, 137, 876
• LCM of 561, 362, 276, 877, 508
• LCM of 685, 778, 188, 998, 603
• LCM of 833, 705, 212, 747, 192
• LCM of 760, 595, 254, 836, 419

1. What is the LCM of 850, 560, 354, 507, 993?

Answer: LCM of 850, 560, 354, 507, 993 is 471297262800.

2. How to calculate the LCM of 850, 560, 354, 507, 993?

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 850, 560, 354, 507, 993.

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}.