Given numbers are 744,361,174,528,861

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

The LCM of 744,361,174,528,861 is 49179341904.

Find LCM of 744,361,174,528,861 with Prime Factorization

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

2 x 2 x 2 x 3 x 31 x 361 x 29 x 22 x 287 = 49179341904

Therefore, the lowest common multiple of 744,361,174,528,861 is 49179341904.

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.

744 x 361 x 174 x 528 x 861 = 21245475702528

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.

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

361 : 1, 19, 361

174 : 1, 2, 3, 6, 29, 58, 87, 174

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,361,174,528,861, is 1.

Now, the common factors can be found like this.

744:2x 2x 2x 3x 31

361:19x 19

174:2x 3x 29

528:2x 2x 2x 2x 3x 11

861:3x 7x 41

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 2x 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 21245475702528/(1x432)

LCM = 21245475702528/432

LCM = 49179341904

Thus, we can understand that the LCM of 744,361,174,528,861 is 49179341904.

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

• LCM of 702, 940, 247, 621, 587
• LCM of 725, 304, 643, 469, 675
• LCM of 835, 760, 246, 120, 994
• LCM of 477, 393, 705, 648, 363
• LCM of 808, 390, 111, 757, 515

1. What is the LCM of 744, 361, 174, 528, 861?

Answer: LCM of 744, 361, 174, 528, 861 is 49179341904.

2. How to calculate the LCM of 744, 361, 174, 528, 861?

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 744, 361, 174, 528, 861.

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}.