Given numbers are 861,552,419

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

The LCM of 861,552,419 is 66379656.

Find LCM of 861,552,419 with Prime Factorization

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

3 x 287 x 184 x 419 = 66379656

Therefore, the lowest common multiple of 861,552,419 is 66379656.

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.

861 x 552 x 419 = 199138968

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.

861 : 1, 3, 7, 21, 41, 123, 287, 861

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

419 : 1, 419

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,552,419, is 1.

Now, the common factors can be found like this.

861:3x 7x 41

552:2x 2x 2x 3x 23

419:419

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

3 = 3

Therefore, the value for common factors is 3.

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 = 199138968/(1x3)

LCM = 199138968/3

LCM = 66379656

Thus, we can understand that the LCM of 861,552,419 is 66379656.

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

• LCM of 978, 603, 247
• LCM of 962, 242, 689
• LCM of 679, 653, 262
• LCM of 632, 498, 455
• LCM of 790, 453, 690

1. What is the LCM of 861, 552, 419?

Answer: LCM of 861, 552, 419 is 66379656.

2. How to calculate the LCM of 861, 552, 419?

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 861, 552, 419.

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}.