Given numbers are 248,214,720,696

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

The LCM of 248,214,720,696 is 69258960.

Find LCM of 248,214,720,696 with Prime Factorization

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

2 x 2 x 2 x 3 x 31 x 107 x 30 x 29 = 69258960

Therefore, the lowest common multiple of 248,214,720,696 is 69258960.

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 214 x 720 x 696 = 26595440640

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

214 : 1, 2, 107, 214

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,214,720,696, is 2.

Now, the common factors can be found like this.

248:2x 2x 2x 31

214:2x 107

720:2x 2x 2x 2x 3x 3x 5

696:2x 2x 2x 3x 29

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 3 = 192

Therefore, the value for common factors is 192.

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 = 26595440640/(2x192)

LCM = 26595440640/384

LCM = 69258960

Thus, we can understand that the LCM of 248,214,720,696 is 69258960.

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

• LCM of 557, 358, 675, 726
• LCM of 456, 922, 998, 676
• LCM of 806, 793, 972, 353
• LCM of 947, 917, 259, 477
• LCM of 668, 330, 763, 726

1. What is the LCM of 248, 214, 720, 696?

Answer: LCM of 248, 214, 720, 696 is 69258960.

2. How to calculate the LCM of 248, 214, 720, 696?

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, 214, 720, 696.

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}.