Given numbers are 349,190,560,464,235

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

The LCM of 349,190,560,464,235 is 5061309680.

Find LCM of 349,190,560,464,235 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 349 x 19 x 7 x 29 x 47 = 5061309680

Therefore, the lowest common multiple of 349,190,560,464,235 is 5061309680.

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 190 x 560 x 464 x 235 = 4049047744000

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

190 : 1, 2, 5, 10, 19, 38, 95, 190

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

235 : 1, 5, 47, 235

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,190,560,464,235, is 1.

Now, the common factors can be found like this.

349:349

190:2x 5x 19

560:2x 2x 2x 2x 5x 7

464:2x 2x 2x 2x 29

235:5x 47

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 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 4049047744000/(1x800)

LCM = 4049047744000/800

LCM = 5061309680

Thus, we can understand that the LCM of 349,190,560,464,235 is 5061309680.

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

• LCM of 680, 213, 445, 980, 218
• LCM of 327, 945, 582, 290, 587
• LCM of 222, 671, 129, 289, 394
• LCM of 359, 593, 603, 145, 852
• LCM of 139, 326, 351, 351, 721

1. What is the LCM of 349, 190, 560, 464, 235?

Answer: LCM of 349, 190, 560, 464, 235 is 5061309680.

2. How to calculate the LCM of 349, 190, 560, 464, 235?

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, 190, 560, 464, 235.

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}.