Given numbers are 248,671,326,936,560

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

The LCM of 248,671,326,936,560 is 222149687760.

Find LCM of 248,671,326,936,560 with Prime Factorization

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

2 x 2 x 2 x 31 x 671 x 163 x 117 x 70 = 222149687760

Therefore, the lowest common multiple of 248,671,326,936,560 is 222149687760.

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.

248 x 671 x 326 x 936 x 560 = 28435160033280

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.

248 : 1, 2, 4, 8, 31, 62, 124, 248

671 : 1, 11, 61, 671

326 : 1, 2, 163, 326

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,671,326,936,560, is 1.

Now, the common factors can be found like this.

248:2x 2x 2x 31

671:11x 61

326:2x 163

936:2x 2x 2x 3x 3x 13

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

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 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 28435160033280/(1x128)

LCM = 28435160033280/128

LCM = 222149687760

Thus, we can understand that the LCM of 248,671,326,936,560 is 222149687760.

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

• LCM of 400, 355, 747, 460, 160
• LCM of 527, 759, 925, 503, 854
• LCM of 587, 558, 887, 716, 788
• LCM of 157, 494, 658, 808, 824
• LCM of 466, 134, 729, 807, 713

1. What is the LCM of 248, 671, 326, 936, 560?

Answer: LCM of 248, 671, 326, 936, 560 is 222149687760.

2. How to calculate the LCM of 248, 671, 326, 936, 560?

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 248, 671, 326, 936, 560.

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}.