Given numbers are 856,135,721,194,756

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

The LCM of 856,135,721,194,756 is 8081919720.

Find LCM of 856,135,721,194,756 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 7 x 214 x 5 x 103 x 97 x 1 = 8081919720

Therefore, the lowest common multiple of 856,135,721,194,756 is 8081919720.

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.

856 x 135 x 721 x 194 x 756 = 12219862616640

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.

856 : 1, 2, 4, 8, 107, 214, 428, 856

135 : 1, 3, 5, 9, 15, 27, 45, 135

721 : 1, 7, 103, 721

194 : 1, 2, 97, 194

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 856,135,721,194,756, is 1.

Now, the common factors can be found like this.

856:2x 2x 2x 107

135:3x 3x 3x 5

721:7x 103

194:2x 97

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 3x 7 = 1512

Therefore, the value for common factors is 1512.

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 = 12219862616640/(1x1512)

LCM = 12219862616640/1512

LCM = 8081919720

Thus, we can understand that the LCM of 856,135,721,194,756 is 8081919720.

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

• LCM of 234, 205, 397, 844, 295
• LCM of 101, 765, 918, 840, 501
• LCM of 475, 642, 681, 915, 511
• LCM of 545, 496, 734, 685, 805
• LCM of 934, 161, 250, 979, 146

1. What is the LCM of 856, 135, 721, 194, 756?

Answer: LCM of 856, 135, 721, 194, 756 is 8081919720.

2. How to calculate the LCM of 856, 135, 721, 194, 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 856, 135, 721, 194, 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}.