Given numbers are 273,312,258,940

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

The LCM of 273,312,258,940 is 22069320.

Find LCM of 273,312,258,940 with Prime Factorization

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

2 x 2 x 3 x 13 x 7 x 2 x 43 x 235 = 22069320

Therefore, the lowest common multiple of 273,312,258,940 is 22069320.

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.

273 x 312 x 258 x 940 = 20656883520

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.

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

258 : 1, 2, 3, 6, 43, 86, 129, 258

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,312,258,940, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

312:2x 2x 2x 3x 13

258:2x 3x 43

940:2x 2x 5x 47

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 3x 3x 13 = 936

Therefore, the value for common factors is 936.

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 = 20656883520/(1x936)

LCM = 20656883520/936

LCM = 22069320

Thus, we can understand that the LCM of 273,312,258,940 is 22069320.

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

• LCM of 990, 827, 325, 383
• LCM of 474, 253, 990, 561
• LCM of 401, 899, 200, 959
• LCM of 807, 105, 682, 271
• LCM of 233, 147, 500, 722

1. What is the LCM of 273, 312, 258, 940?

Answer: LCM of 273, 312, 258, 940 is 22069320.

2. How to calculate the LCM of 273, 312, 258, 940?

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 273, 312, 258, 940.

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}.