Given numbers are 226,214,677,560,852

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

The LCM of 226,214,677,560,852 is 976379202960.

Find LCM of 226,214,677,560,852 with Prime Factorization

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

2 x 2 x 113 x 107 x 677 x 140 x 213 = 976379202960

Therefore, the lowest common multiple of 226,214,677,560,852 is 976379202960.

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.

226 x 214 x 677 x 560 x 852 = 15622067247360

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.

226 : 1, 2, 113, 226

214 : 1, 2, 107, 214

677 : 1, 677

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

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,214,677,560,852, is 1.

Now, the common factors can be found like this.

226:2x 113

214:2x 107

677:677

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

852:2x 2x 3x 71

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 = 15622067247360/(1x16)

LCM = 15622067247360/16

LCM = 976379202960

Thus, we can understand that the LCM of 226,214,677,560,852 is 976379202960.

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

• LCM of 671, 180, 198, 601, 781
• LCM of 506, 509, 666, 961, 836
• LCM of 127, 769, 275, 352, 717
• LCM of 421, 449, 839, 524, 802
• LCM of 239, 171, 577, 443, 819

1. What is the LCM of 226, 214, 677, 560, 852?

Answer: LCM of 226, 214, 677, 560, 852 is 976379202960.

2. How to calculate the LCM of 226, 214, 677, 560, 852?

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 226, 214, 677, 560, 852.

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}.