Given numbers are 338,600,753,874,859

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

The LCM of 338,600,753,874,859 is 9554022886200.

Find LCM of 338,600,753,874,859 with Prime Factorization

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

2 x 3 x 169 x 100 x 251 x 437 x 859 = 9554022886200

Therefore, the lowest common multiple of 338,600,753,874,859 is 9554022886200.

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.

338 x 600 x 753 x 874 x 859 = 114648274634400

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.

338 : 1, 2, 13, 26, 169, 338

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

753 : 1, 3, 251, 753

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

859 : 1, 859

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,600,753,874,859, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

600:2x 2x 2x 3x 5x 5

753:3x 251

874:2x 19x 23

859:859

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 3 = 12

Therefore, the value for common factors is 12.

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 = 114648274634400/(1x12)

LCM = 114648274634400/12

LCM = 9554022886200

Thus, we can understand that the LCM of 338,600,753,874,859 is 9554022886200.

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

• LCM of 360, 563, 238, 668, 263
• LCM of 924, 732, 243, 529, 735
• LCM of 188, 838, 536, 603, 310
• LCM of 810, 409, 756, 597, 606
• LCM of 291, 926, 324, 563, 341

1. What is the LCM of 338, 600, 753, 874, 859?

Answer: LCM of 338, 600, 753, 874, 859 is 9554022886200.

2. How to calculate the LCM of 338, 600, 753, 874, 859?

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 338, 600, 753, 874, 859.

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}.