Given numbers are 125,409,338,108,756

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

The LCM of 125,409,338,108,756 is 6531934500.

Find LCM of 125,409,338,108,756 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 125 x 409 x 169 x 1 x 7 = 6531934500

Therefore, the lowest common multiple of 125,409,338,108,756 is 6531934500.

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.

125 x 409 x 338 x 108 x 756 = 1410897852000

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.

125 : 1, 5, 25, 125

409 : 1, 409

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

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,409,338,108,756, is 1.

Now, the common factors can be found like this.

125:5x 5x 5

409:409

338:2x 13x 13

108:2x 2x 3x 3x 3

756:2x 2x 3x 3x 3x 7

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 3 = 216

Therefore, the value for common factors is 216.

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 = 1410897852000/(1x216)

LCM = 1410897852000/216

LCM = 6531934500

Thus, we can understand that the LCM of 125,409,338,108,756 is 6531934500.

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

• LCM of 480, 392, 478, 113, 410
• LCM of 202, 489, 381, 183, 899
• LCM of 385, 264, 480, 171, 958
• LCM of 431, 641, 422, 753, 155
• LCM of 701, 237, 381, 773, 507

1. What is the LCM of 125, 409, 338, 108, 756?

Answer: LCM of 125, 409, 338, 108, 756 is 6531934500.

2. How to calculate the LCM of 125, 409, 338, 108, 756?

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 125, 409, 338, 108, 756.

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}.