Given numbers are 990,361,987,874,544

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

The LCM of 990,361,987,874,544 is 735588675360.

Find LCM of 990,361,987,874,544 with Prime Factorization

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

2 x 3 x 19 x 165 x 19 x 329 x 23 x 272 = 735588675360

Therefore, the lowest common multiple of 990,361,987,874,544 is 735588675360.

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.

990 x 361 x 987 x 874 x 544 = 167714217982080

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.

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

361 : 1, 19, 361

987 : 1, 3, 7, 21, 47, 141, 329, 987

874 : 1, 2, 19, 23, 38, 46, 437, 874

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,361,987,874,544, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

361:19x 19

987:3x 7x 47

874:2x 19x 23

544:2x 2x 2x 2x 2x 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 19 = 228

Therefore, the value for common factors is 228.

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 = 167714217982080/(1x228)

LCM = 167714217982080/228

LCM = 735588675360

Thus, we can understand that the LCM of 990,361,987,874,544 is 735588675360.

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

• LCM of 425, 978, 547, 825, 936
• LCM of 628, 116, 472, 242, 732
• LCM of 555, 797, 534, 373, 142
• LCM of 975, 726, 463, 800, 642
• LCM of 856, 724, 774, 941, 907

1. What is the LCM of 990, 361, 987, 874, 544?

Answer: LCM of 990, 361, 987, 874, 544 is 735588675360.

2. How to calculate the LCM of 990, 361, 987, 874, 544?

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 990, 361, 987, 874, 544.

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}.