Given numbers are 273,390,203,322,460

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

The LCM of 273,390,203,322,460 is 3641820.

Find LCM of 273,390,203,322,460 with Prime Factorization

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

2 x 3 x 5 x 7 x 13 x 23 x 1 x 1 x 29 x 1 x 2 = 3641820

Therefore, the lowest common multiple of 273,390,203,322,460 is 3641820.

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 390 x 203 x 322 x 460 = 3201378289200

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

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

203 : 1, 7, 29, 203

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,390,203,322,460, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

390:2x 3x 5x 13

203:7x 29

322:2x 7x 23

460:2x 2x 5x 23

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 5x 7x 7x 13x 23 = 879060

Therefore, the value for common factors is 879060.

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 = 3201378289200/(1x879060)

LCM = 3201378289200/879060

LCM = 3641820

Thus, we can understand that the LCM of 273,390,203,322,460 is 3641820.

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

• LCM of 391, 109, 469, 948, 403
• LCM of 641, 978, 447, 617, 301
• LCM of 620, 276, 140, 608, 736
• LCM of 616, 705, 555, 692, 464
• LCM of 369, 623, 353, 446, 819

1. What is the LCM of 273, 390, 203, 322, 460?

Answer: LCM of 273, 390, 203, 322, 460 is 3641820.

2. How to calculate the LCM of 273, 390, 203, 322, 460?

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, 390, 203, 322, 460.

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}.