Given numbers are 273,274,362,242,349

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

The LCM of 273,274,362,242,349 is 571745272098.

Find LCM of 273,274,362,242,349 with Prime Factorization

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

2 x 273 x 137 x 181 x 121 x 349 = 571745272098

Therefore, the lowest common multiple of 273,274,362,242,349 is 571745272098.

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 274 x 362 x 242 x 349 = 2286981088392

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

274 : 1, 2, 137, 274

362 : 1, 2, 181, 362

242 : 1, 2, 11, 22, 121, 242

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,274,362,242,349, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

274:2x 137

362:2x 181

242:2x 11x 11

349:349

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2286981088392/(1x4)

LCM = 2286981088392/4

LCM = 571745272098

Thus, we can understand that the LCM of 273,274,362,242,349 is 571745272098.

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

• LCM of 176, 696, 804, 858, 500
• LCM of 723, 486, 979, 453, 428
• LCM of 383, 918, 616, 778, 486
• LCM of 906, 356, 928, 159, 310
• LCM of 615, 517, 135, 381, 819

1. What is the LCM of 273, 274, 362, 242, 349?

Answer: LCM of 273, 274, 362, 242, 349 is 571745272098.

2. How to calculate the LCM of 273, 274, 362, 242, 349?

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, 274, 362, 242, 349.

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}.