Given numbers are 398,552,380,741,344

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

The LCM of 398,552,380,741,344 is 5833478040.

Find LCM of 398,552,380,741,344 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 199 x 23 x 5 x 13 x 43 = 5833478040

Therefore, the lowest common multiple of 398,552,380,741,344 is 5833478040.

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.

398 x 552 x 380 x 741 x 344 = 21280527889920

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.

398 : 1, 2, 199, 398

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

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

741 : 1, 3, 13, 19, 39, 57, 247, 741

344 : 1, 2, 4, 8, 43, 86, 172, 344

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,552,380,741,344, is 1.

Now, the common factors can be found like this.

398:2x 199

552:2x 2x 2x 3x 23

380:2x 2x 5x 19

741:3x 13x 19

344:2x 2x 2x 43

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 2x 2x 3x 19 = 3648

Therefore, the value for common factors is 3648.

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 = 21280527889920/(1x3648)

LCM = 21280527889920/3648

LCM = 5833478040

Thus, we can understand that the LCM of 398,552,380,741,344 is 5833478040.

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

• LCM of 952, 303, 437, 842, 277
• LCM of 266, 577, 275, 443, 786
• LCM of 155, 126, 300, 346, 753
• LCM of 499, 144, 100, 654, 665
• LCM of 180, 180, 330, 428, 641

1. What is the LCM of 398, 552, 380, 741, 344?

Answer: LCM of 398, 552, 380, 741, 344 is 5833478040.

2. How to calculate the LCM of 398, 552, 380, 741, 344?

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 398, 552, 380, 741, 344.

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}.