Given numbers are 104,824,878,189,349

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

The LCM of 104,824,878,189,349 is 310186087848.

Find LCM of 104,824,878,189,349 with Prime Factorization

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

2 x 2 x 2 x 13 x 103 x 439 x 189 x 349 = 310186087848

Therefore, the lowest common multiple of 104,824,878,189,349 is 310186087848.

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.

104 x 824 x 878 x 189 x 349 = 4962977405568

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.

104 : 1, 2, 4, 8, 13, 26, 52, 104

824 : 1, 2, 4, 8, 103, 206, 412, 824

878 : 1, 2, 439, 878

189 : 1, 3, 7, 9, 21, 27, 63, 189

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,824,878,189,349, is 1.

Now, the common factors can be found like this.

104:2x 2x 2x 13

824:2x 2x 2x 103

878:2x 439

189:3x 3x 3x 7

349:349

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 2 = 16

Therefore, the value for common factors is 16.

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 = 4962977405568/(1x16)

LCM = 4962977405568/16

LCM = 310186087848

Thus, we can understand that the LCM of 104,824,878,189,349 is 310186087848.

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

• LCM of 895, 169, 246, 299, 110
• LCM of 207, 478, 392, 661, 216
• LCM of 200, 392, 316, 863, 660
• LCM of 739, 955, 199, 678, 971
• LCM of 561, 671, 740, 815, 399

1. What is the LCM of 104, 824, 878, 189, 349?

Answer: LCM of 104, 824, 878, 189, 349 is 310186087848.

2. How to calculate the LCM of 104, 824, 878, 189, 349?

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 104, 824, 878, 189, 349.

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}.