Given numbers are 514,956,648,273,275

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

The LCM of 514,956,648,273,275 is 996047652600.

Find LCM of 514,956,648,273,275 with Prime Factorization

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

2 x 2 x 3 x 257 x 239 x 54 x 91 x 275 = 996047652600

Therefore, the lowest common multiple of 514,956,648,273,275 is 996047652600.

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.

514 x 956 x 648 x 273 x 275 = 23905143662400

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.

514 : 1, 2, 257, 514

956 : 1, 2, 4, 239, 478, 956

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

273 : 1, 3, 7, 13, 21, 39, 91, 273

275 : 1, 5, 11, 25, 55, 275

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,956,648,273,275, is 1.

Now, the common factors can be found like this.

514:2x 257

956:2x 2x 239

648:2x 2x 2x 3x 3x 3x 3

273:3x 7x 13

275:5x 5x 11

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 3 = 24

Therefore, the value for common factors is 24.

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 = 23905143662400/(1x24)

LCM = 23905143662400/24

LCM = 996047652600

Thus, we can understand that the LCM of 514,956,648,273,275 is 996047652600.

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

• LCM of 629, 802, 970, 163, 369
• LCM of 690, 931, 986, 991, 876
• LCM of 224, 592, 777, 912, 914
• LCM of 656, 439, 766, 968, 182
• LCM of 332, 160, 770, 470, 594

1. What is the LCM of 514, 956, 648, 273, 275?

Answer: LCM of 514, 956, 648, 273, 275 is 996047652600.

2. How to calculate the LCM of 514, 956, 648, 273, 275?

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 514, 956, 648, 273, 275.

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}.