Given numbers are 113,138,414,750,604

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

The LCM of 113,138,414,750,604 is 1766020500.

Find LCM of 113,138,414,750,604 with Prime Factorization

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

2 x 3 x 23 x 113 x 1 x 3 x 125 x 302 = 1766020500

Therefore, the lowest common multiple of 113,138,414,750,604 is 1766020500.

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.

113 x 138 x 414 x 750 x 604 = 2924529948000

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.

113 : 1, 113

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

604 : 1, 2, 4, 151, 302, 604

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,138,414,750,604, is 1.

Now, the common factors can be found like this.

113:113

138:2x 3x 23

414:2x 3x 3x 23

750:2x 3x 5x 5x 5

604:2x 2x 151

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 23 = 1656

Therefore, the value for common factors is 1656.

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 = 2924529948000/(1x1656)

LCM = 2924529948000/1656

LCM = 1766020500

Thus, we can understand that the LCM of 113,138,414,750,604 is 1766020500.

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

• LCM of 833, 885, 210, 321, 668
• LCM of 429, 759, 327, 682, 277
• LCM of 234, 380, 613, 215, 415
• LCM of 303, 869, 457, 468, 652
• LCM of 330, 981, 231, 808, 520

1. What is the LCM of 113, 138, 414, 750, 604?

Answer: LCM of 113, 138, 414, 750, 604 is 1766020500.

2. How to calculate the LCM of 113, 138, 414, 750, 604?

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 113, 138, 414, 750, 604.

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}.