Given numbers are 495,674,858,873,990

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

The LCM of 495,674,858,873,990 is 420707430.

Find LCM of 495,674,858,873,990 with Prime Factorization

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

2 x 3 x 3 x 5 x 11 x 1 x 337 x 13 x 97 x 1 = 420707430

Therefore, the lowest common multiple of 495,674,858,873,990 is 420707430.

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.

495 x 674 x 858 x 873 x 990 = 247401211285800

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.

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

674 : 1, 2, 337, 674

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

873 : 1, 3, 9, 97, 291, 873

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,674,858,873,990, is 1.

Now, the common factors can be found like this.

495:3x 3x 5x 11

674:2x 337

858:2x 3x 11x 13

873:3x 3x 97

990:2x 3x 3x 5x 11

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 3x 3x 5x 11x 11 = 588060

Therefore, the value for common factors is 588060.

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 = 247401211285800/(1x588060)

LCM = 247401211285800/588060

LCM = 420707430

Thus, we can understand that the LCM of 495,674,858,873,990 is 420707430.

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

• LCM of 813, 123, 404, 615, 567
• LCM of 841, 480, 766, 360, 142
• LCM of 384, 141, 175, 896, 522
• LCM of 155, 333, 304, 516, 732
• LCM of 358, 313, 366, 931, 939

1. What is the LCM of 495, 674, 858, 873, 990?

Answer: LCM of 495, 674, 858, 873, 990 is 420707430.

2. How to calculate the LCM of 495, 674, 858, 873, 990?

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 495, 674, 858, 873, 990.

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}.