Given numbers are 293,202,374,273,380

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

The LCM of 293,202,374,273,380 is 574085852340.

Find LCM of 293,202,374,273,380 with Prime Factorization

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

2 x 293 x 101 x 187 x 273 x 190 = 574085852340

Therefore, the lowest common multiple of 293,202,374,273,380 is 574085852340.

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.

293 x 202 x 374 x 273 x 380 = 2296343409360

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.

293 : 1, 293

202 : 1, 2, 101, 202

374 : 1, 2, 11, 17, 22, 34, 187, 374

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

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,202,374,273,380, is 1.

Now, the common factors can be found like this.

293:293

202:2x 101

374:2x 11x 17

273:3x 7x 13

380:2x 2x 5x 19

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 = 2296343409360/(1x4)

LCM = 2296343409360/4

LCM = 574085852340

Thus, we can understand that the LCM of 293,202,374,273,380 is 574085852340.

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

• LCM of 870, 888, 908, 215, 478
• LCM of 708, 400, 585, 816, 978
• LCM of 851, 989, 165, 330, 907
• LCM of 626, 832, 532, 965, 832
• LCM of 687, 199, 728, 743, 776

1. What is the LCM of 293, 202, 374, 273, 380?

Answer: LCM of 293, 202, 374, 273, 380 is 574085852340.

2. How to calculate the LCM of 293, 202, 374, 273, 380?

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 293, 202, 374, 273, 380.

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}.