Given numbers are 349,538,480,805,241

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

The LCM of 349,538,480,805,241 is 1748484806880.

Find LCM of 349,538,480,805,241 with Prime Factorization

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

2 x 5 x 349 x 269 x 48 x 161 x 241 = 1748484806880

Therefore, the lowest common multiple of 349,538,480,805,241 is 1748484806880.

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.

349 x 538 x 480 x 805 x 241 = 17484848068800

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.

349 : 1, 349

538 : 1, 2, 269, 538

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

805 : 1, 5, 7, 23, 35, 115, 161, 805

241 : 1, 241

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,538,480,805,241, is 1.

Now, the common factors can be found like this.

349:349

538:2x 269

480:2x 2x 2x 2x 2x 3x 5

805:5x 7x 23

241:241

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 17484848068800/(1x10)

LCM = 17484848068800/10

LCM = 1748484806880

Thus, we can understand that the LCM of 349,538,480,805,241 is 1748484806880.

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

• LCM of 233, 196, 856, 409, 926
• LCM of 814, 849, 634, 457, 739
• LCM of 970, 926, 304, 978, 342
• LCM of 502, 255, 830, 504, 183
• LCM of 486, 829, 103, 140, 119

1. What is the LCM of 349, 538, 480, 805, 241?

Answer: LCM of 349, 538, 480, 805, 241 is 1748484806880.

2. How to calculate the LCM of 349, 538, 480, 805, 241?

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 349, 538, 480, 805, 241.

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}.