Given numbers are 276,345,807,207,732

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

The LCM of 276,345,807,207,732 is 67933260.

Find LCM of 276,345,807,207,732 with Prime Factorization

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

2 x 2 x 3 x 23 x 1 x 5 x 269 x 3 x 61 = 67933260

Therefore, the lowest common multiple of 276,345,807,207,732 is 67933260.

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.

276 x 345 x 807 x 207 x 732 = 11643489030960

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.

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

345 : 1, 3, 5, 15, 23, 69, 115, 345

807 : 1, 3, 269, 807

207 : 1, 3, 9, 23, 69, 207

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,345,807,207,732, is 3.

Now, the common factors can be found like this.

276:2x 2x 3x 23

345:3x 5x 23

807:3x 269

207:3x 3x 23

732:2x 2x 3x 61

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 3x 3x 3x 23x 23 = 57132

Therefore, the value for common factors is 57132.

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 = 11643489030960/(3x57132)

LCM = 11643489030960/171396

LCM = 67933260

Thus, we can understand that the LCM of 276,345,807,207,732 is 67933260.

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

• LCM of 497, 454, 635, 521, 505
• LCM of 865, 344, 949, 472, 517
• LCM of 993, 431, 253, 996, 693
• LCM of 385, 485, 862, 862, 431
• LCM of 302, 106, 390, 300, 256

1. What is the LCM of 276, 345, 807, 207, 732?

Answer: LCM of 276, 345, 807, 207, 732 is 67933260.

2. How to calculate the LCM of 276, 345, 807, 207, 732?

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 276, 345, 807, 207, 732.

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}.