Given numbers are 756,977,341,305,925

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

The LCM of 756,977,341,305,925 is 14211578096100.

Find LCM of 756,977,341,305,925 with Prime Factorization

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

5 x 756 x 977 x 341 x 61 x 185 = 14211578096100

Therefore, the lowest common multiple of 756,977,341,305,925 is 14211578096100.

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.

756 x 977 x 341 x 305 x 925 = 71057890480500

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.

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

977 : 1, 977

341 : 1, 11, 31, 341

305 : 1, 5, 61, 305

925 : 1, 5, 25, 37, 185, 925

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,977,341,305,925, is 1.

Now, the common factors can be found like this.

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

977:977

341:11x 31

305:5x 61

925:5x 5x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5 = 5

Therefore, the value for common factors is 5.

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 = 71057890480500/(1x5)

LCM = 71057890480500/5

LCM = 14211578096100

Thus, we can understand that the LCM of 756,977,341,305,925 is 14211578096100.

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

• LCM of 552, 832, 250, 114, 966
• LCM of 894, 742, 467, 525, 138
• LCM of 817, 243, 248, 702, 303
• LCM of 665, 900, 864, 218, 128
• LCM of 619, 353, 222, 105, 833

1. What is the LCM of 756, 977, 341, 305, 925?

Answer: LCM of 756, 977, 341, 305, 925 is 14211578096100.

2. How to calculate the LCM of 756, 977, 341, 305, 925?

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 756, 977, 341, 305, 925.

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}.