Given numbers are 890,990,380,559,357

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

The LCM of 890,990,380,559,357 is 222724281780.

Find LCM of 890,990,380,559,357 with Prime Factorization

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

2 x 3 x 5 x 89 x 33 x 38 x 559 x 119 = 222724281780

Therefore, the lowest common multiple of 890,990,380,559,357 is 222724281780.

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.

890 x 990 x 380 x 559 x 357 = 66817284534000

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.

890 : 1, 2, 5, 10, 89, 178, 445, 890

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

559 : 1, 13, 43, 559

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,990,380,559,357, is 1.

Now, the common factors can be found like this.

890:2x 5x 89

990:2x 3x 3x 5x 11

380:2x 2x 5x 19

559:13x 43

357:3x 7x 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 3x 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 66817284534000/(1x300)

LCM = 66817284534000/300

LCM = 222724281780

Thus, we can understand that the LCM of 890,990,380,559,357 is 222724281780.

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

• LCM of 173, 906, 147, 788, 401
• LCM of 592, 141, 862, 765, 389
• LCM of 454, 389, 445, 265, 751
• LCM of 579, 155, 141, 306, 636
• LCM of 146, 567, 940, 242, 132

1. What is the LCM of 890, 990, 380, 559, 357?

Answer: LCM of 890, 990, 380, 559, 357 is 222724281780.

2. How to calculate the LCM of 890, 990, 380, 559, 357?

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 890, 990, 380, 559, 357.

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}.