Given numbers are 268,916,252,680,972

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

The LCM of 268,916,252,680,972 is 17746941240.

Find LCM of 268,916,252,680,972 with Prime Factorization

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

2 x 2 x 3 x 3 x 67 x 229 x 7 x 170 x 27 = 17746941240

Therefore, the lowest common multiple of 268,916,252,680,972 is 17746941240.

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.

268 x 916 x 252 x 680 x 972 = 40888952616960

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.

268 : 1, 2, 4, 67, 134, 268

916 : 1, 2, 4, 229, 458, 916

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,916,252,680,972, is 4.

Now, the common factors can be found like this.

268:2x 2x 67

916:2x 2x 229

252:2x 2x 3x 3x 7

680:2x 2x 2x 5x 17

972:2x 2x 3x 3x 3x 3x 3

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 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 40888952616960/(4x576)

LCM = 40888952616960/2304

LCM = 17746941240

Thus, we can understand that the LCM of 268,916,252,680,972 is 17746941240.

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

• LCM of 103, 525, 697, 932, 788
• LCM of 817, 154, 485, 213, 454
• LCM of 803, 725, 683, 447, 287
• LCM of 669, 177, 150, 336, 478
• LCM of 516, 976, 481, 791, 788

1. What is the LCM of 268, 916, 252, 680, 972?

Answer: LCM of 268, 916, 252, 680, 972 is 17746941240.

2. How to calculate the LCM of 268, 916, 252, 680, 972?

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 268, 916, 252, 680, 972.

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}.