Given numbers are 977,285,519,171

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

The LCM of 977,285,519,171 is 144512955.

Find LCM of 977,285,519,171 with Prime Factorization

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

3 x 19 x 977 x 5 x 173 x 3 = 144512955

Therefore, the lowest common multiple of 977,285,519,171 is 144512955.

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.

977 x 285 x 519 x 171 = 24711715305

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.

977 : 1, 977

285 : 1, 3, 5, 15, 19, 57, 95, 285

519 : 1, 3, 173, 519

171 : 1, 3, 9, 19, 57, 171

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,285,519,171, is 1.

Now, the common factors can be found like this.

977:977

285:3x 5x 19

519:3x 173

171:3x 3x 19

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

3x 3x 19 = 171

Therefore, the value for common factors is 171.

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 = 24711715305/(1x171)

LCM = 24711715305/171

LCM = 144512955

Thus, we can understand that the LCM of 977,285,519,171 is 144512955.

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

• LCM of 961, 120, 443, 844
• LCM of 574, 802, 353, 335
• LCM of 647, 423, 577, 132
• LCM of 907, 959, 760, 514
• LCM of 458, 157, 699, 284

1. What is the LCM of 977, 285, 519, 171?

Answer: LCM of 977, 285, 519, 171 is 144512955.

2. How to calculate the LCM of 977, 285, 519, 171?

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 977, 285, 519, 171.

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}.