Given numbers are 449,864,874,513,988

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

The LCM of 449,864,874,513,988 is 2203864416.

Find LCM of 449,864,874,513,988 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 19 x 449 x 8 x 23 x 1 x 13 = 2203864416

Therefore, the lowest common multiple of 449,864,874,513,988 is 2203864416.

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.

449 x 864 x 874 x 513 x 988 = 171848531702016

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.

449 : 1, 449

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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

513 : 1, 3, 9, 19, 27, 57, 171, 513

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,864,874,513,988, is 1.

Now, the common factors can be found like this.

449:449

864:2x 2x 2x 2x 2x 3x 3x 3

874:2x 19x 23

513:3x 3x 3x 19

988:2x 2x 13x 19

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 2x 3x 3x 3x 19x 19 = 77976

Therefore, the value for common factors is 77976.

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 = 171848531702016/(1x77976)

LCM = 171848531702016/77976

LCM = 2203864416

Thus, we can understand that the LCM of 449,864,874,513,988 is 2203864416.

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

• LCM of 969, 805, 339, 123, 903
• LCM of 157, 325, 466, 559, 787
• LCM of 629, 942, 631, 281, 889
• LCM of 446, 915, 441, 147, 688
• LCM of 476, 234, 884, 303, 212

1. What is the LCM of 449, 864, 874, 513, 988?

Answer: LCM of 449, 864, 874, 513, 988 is 2203864416.

2. How to calculate the LCM of 449, 864, 874, 513, 988?

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 449, 864, 874, 513, 988.

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}.