Given numbers are 354,860,507,750,279

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

The LCM of 354,860,507,750,279 is 59811043500.

Find LCM of 354,860,507,750,279 with Prime Factorization

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

2 x 3 x 5 x 59 x 86 x 169 x 25 x 93 = 59811043500

Therefore, the lowest common multiple of 354,860,507,750,279 is 59811043500.

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.

354 x 860 x 507 x 750 x 279 = 32297963490000

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.

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

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

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

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

279 : 1, 3, 9, 31, 93, 279

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,860,507,750,279, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

860:2x 2x 5x 43

507:3x 13x 13

750:2x 3x 5x 5x 5

279:3x 3x 31

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 3x 5 = 540

Therefore, the value for common factors is 540.

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 = 32297963490000/(1x540)

LCM = 32297963490000/540

LCM = 59811043500

Thus, we can understand that the LCM of 354,860,507,750,279 is 59811043500.

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

• LCM of 250, 737, 374, 997, 454
• LCM of 331, 508, 322, 261, 853
• LCM of 685, 402, 376, 261, 777
• LCM of 559, 870, 823, 418, 198
• LCM of 339, 106, 467, 461, 216

1. What is the LCM of 354, 860, 507, 750, 279?

Answer: LCM of 354, 860, 507, 750, 279 is 59811043500.

2. How to calculate the LCM of 354, 860, 507, 750, 279?

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 354, 860, 507, 750, 279.

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}.