Given numbers are 972,311,370,823,554

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

The LCM of 972,311,370,823,554 is 12749054763420.

Find LCM of 972,311,370,823,554 with Prime Factorization

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

2 x 486 x 311 x 185 x 823 x 277 = 12749054763420

Therefore, the lowest common multiple of 972,311,370,823,554 is 12749054763420.

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.

972 x 311 x 370 x 823 x 554 = 50996219053680

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.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

311 : 1, 311

370 : 1, 2, 5, 10, 37, 74, 185, 370

823 : 1, 823

554 : 1, 2, 277, 554

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,311,370,823,554, is 1.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

311:311

370:2x 5x 37

823:823

554:2x 277

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 50996219053680/(1x4)

LCM = 50996219053680/4

LCM = 12749054763420

Thus, we can understand that the LCM of 972,311,370,823,554 is 12749054763420.

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

• LCM of 527, 399, 132, 148, 991
• LCM of 421, 915, 350, 900, 838
• LCM of 500, 416, 940, 862, 764
• LCM of 558, 240, 228, 395, 476
• LCM of 272, 371, 596, 878, 649

1. What is the LCM of 972, 311, 370, 823, 554?

Answer: LCM of 972, 311, 370, 823, 554 is 12749054763420.

2. How to calculate the LCM of 972, 311, 370, 823, 554?

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 972, 311, 370, 823, 554.

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}.