Given numbers are 920,322,276,344,514

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

The LCM of 920,322,276,344,514 is 213505320.

Find LCM of 920,322,276,344,514 with Prime Factorization

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

2 x 2 x 2 x 23 x 5 x 7 x 3 x 43 x 257 = 213505320

Therefore, the lowest common multiple of 920,322,276,344,514 is 213505320.

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.

920 x 322 x 276 x 344 x 514 = 14456872227840

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

322 : 1, 2, 7, 14, 23, 46, 161, 322

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

344 : 1, 2, 4, 8, 43, 86, 172, 344

514 : 1, 2, 257, 514

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,322,276,344,514, is 2.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

322:2x 7x 23

276:2x 2x 3x 23

344:2x 2x 2x 43

514:2x 257

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 23x 23 = 33856

Therefore, the value for common factors is 33856.

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 = 14456872227840/(2x33856)

LCM = 14456872227840/67712

LCM = 213505320

Thus, we can understand that the LCM of 920,322,276,344,514 is 213505320.

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

• LCM of 941, 231, 309, 712, 245
• LCM of 572, 900, 819, 218, 858
• LCM of 533, 964, 405, 523, 615
• LCM of 204, 193, 392, 435, 285
• LCM of 391, 320, 488, 152, 506

1. What is the LCM of 920, 322, 276, 344, 514?

Answer: LCM of 920, 322, 276, 344, 514 is 213505320.

2. How to calculate the LCM of 920, 322, 276, 344, 514?

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 920, 322, 276, 344, 514.

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}.