Given numbers are 273,260,352,364,824

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

The LCM of 273,260,352,364,824 is 49489440.

Find LCM of 273,260,352,364,824 with Prime Factorization

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

2 x 2 x 2 x 7 x 13 x 3 x 5 x 44 x 1 x 103 = 49489440

Therefore, the lowest common multiple of 273,260,352,364,824 is 49489440.

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 260 x 352 x 364 x 824 = 7493888962560

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

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,260,352,364,824, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

260:2x 2x 5x 13

352:2x 2x 2x 2x 2x 11

364:2x 2x 7x 13

824:2x 2x 2x 103

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 2x 7x 13x 13 = 151424

Therefore, the value for common factors is 151424.

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 = 7493888962560/(1x151424)

LCM = 7493888962560/151424

LCM = 49489440

Thus, we can understand that the LCM of 273,260,352,364,824 is 49489440.

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

• LCM of 980, 637, 694, 407, 361
• LCM of 121, 305, 402, 733, 557
• LCM of 947, 838, 434, 371, 458
• LCM of 198, 525, 148, 890, 146
• LCM of 697, 840, 262, 890, 704

1. What is the LCM of 273, 260, 352, 364, 824?

Answer: LCM of 273, 260, 352, 364, 824 is 49489440.

2. How to calculate the LCM of 273, 260, 352, 364, 824?

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, 260, 352, 364, 824.

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}.