Given numbers are 879,138,326,408,120

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

The LCM of 879,138,326,408,120 is 2240852280.

Find LCM of 879,138,326,408,120 with Prime Factorization

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

2 x 2 x 2 x 3 x 293 x 23 x 163 x 17 x 5 = 2240852280

Therefore, the lowest common multiple of 879,138,326,408,120 is 2240852280.

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.

879 x 138 x 326 x 408 x 120 = 1936096369920

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.

879 : 1, 3, 293, 879

138 : 1, 2, 3, 6, 23, 46, 69, 138

326 : 1, 2, 163, 326

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,138,326,408,120, is 1.

Now, the common factors can be found like this.

879:3x 293

138:2x 3x 23

326:2x 163

408:2x 2x 2x 3x 17

120:2x 2x 2x 3x 5

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 2x 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 1936096369920/(1x864)

LCM = 1936096369920/864

LCM = 2240852280

Thus, we can understand that the LCM of 879,138,326,408,120 is 2240852280.

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

• LCM of 588, 379, 462, 362, 300
• LCM of 105, 512, 266, 787, 935
• LCM of 532, 857, 916, 205, 974
• LCM of 313, 334, 153, 182, 881
• LCM of 489, 515, 551, 285, 299

1. What is the LCM of 879, 138, 326, 408, 120?

Answer: LCM of 879, 138, 326, 408, 120 is 2240852280.

2. How to calculate the LCM of 879, 138, 326, 408, 120?

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 879, 138, 326, 408, 120.

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}.