Given numbers are 349,290,224,807,828

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

The LCM of 349,290,224,807,828 is 631195760160.

Find LCM of 349,290,224,807,828 with Prime Factorization

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

2 x 2 x 3 x 349 x 145 x 56 x 269 x 69 = 631195760160

Therefore, the lowest common multiple of 349,290,224,807,828 is 631195760160.

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 290 x 224 x 807 x 828 = 15148698243840

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

290 : 1, 2, 5, 10, 29, 58, 145, 290

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

807 : 1, 3, 269, 807

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,290,224,807,828, is 1.

Now, the common factors can be found like this.

349:349

290:2x 5x 29

224:2x 2x 2x 2x 2x 7

807:3x 269

828:2x 2x 3x 3x 23

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 3 = 24

Therefore, the value for common factors is 24.

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 = 15148698243840/(1x24)

LCM = 15148698243840/24

LCM = 631195760160

Thus, we can understand that the LCM of 349,290,224,807,828 is 631195760160.

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

• LCM of 152, 457, 457, 300, 998
• LCM of 875, 985, 378, 161, 230
• LCM of 429, 389, 671, 111, 946
• LCM of 465, 445, 794, 377, 433
• LCM of 925, 628, 487, 552, 133

1. What is the LCM of 349, 290, 224, 807, 828?

Answer: LCM of 349, 290, 224, 807, 828 is 631195760160.

2. How to calculate the LCM of 349, 290, 224, 807, 828?

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, 290, 224, 807, 828.

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}.