Given numbers are 131,862,756,440,193

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

The LCM of 131,862,756,440,193 is 906192274680.

Find LCM of 131,862,756,440,193 with Prime Factorization

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

2 x 2 x 131 x 431 x 189 x 110 x 193 = 906192274680

Therefore, the lowest common multiple of 131,862,756,440,193 is 906192274680.

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.

131 x 862 x 756 x 440 x 193 = 7249538197440

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.

131 : 1, 131

862 : 1, 2, 431, 862

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

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

193 : 1, 193

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 131,862,756,440,193, is 1.

Now, the common factors can be found like this.

131:131

862:2x 431

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

440:2x 2x 2x 5x 11

193:193

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 2 = 8

Therefore, the value for common factors is 8.

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 = 7249538197440/(1x8)

LCM = 7249538197440/8

LCM = 906192274680

Thus, we can understand that the LCM of 131,862,756,440,193 is 906192274680.

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

• LCM of 799, 836, 406, 919, 760
• LCM of 297, 222, 100, 327, 925
• LCM of 439, 570, 323, 868, 819
• LCM of 608, 102, 284, 830, 735
• LCM of 958, 547, 296, 364, 644

1. What is the LCM of 131, 862, 756, 440, 193?

Answer: LCM of 131, 862, 756, 440, 193 is 906192274680.

2. How to calculate the LCM of 131, 862, 756, 440, 193?

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 131, 862, 756, 440, 193.

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}.