Given numbers are 131,299,292,260,348

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

The LCM of 131,299,292,260,348 is 4975246380.

Find LCM of 131,299,292,260,348 with Prime Factorization

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

2 x 2 x 13 x 131 x 23 x 73 x 5 x 87 = 4975246380

Therefore, the lowest common multiple of 131,299,292,260,348 is 4975246380.

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.

131 x 299 x 292 x 260 x 348 = 1034851247040

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.

131 : 1, 131

299 : 1, 13, 23, 299

292 : 1, 2, 4, 73, 146, 292

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

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 131,299,292,260,348, is 1.

Now, the common factors can be found like this.

131:131

299:13x 23

292:2x 2x 73

260:2x 2x 5x 13

348:2x 2x 3x 29

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 13 = 208

Therefore, the value for common factors is 208.

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 = 1034851247040/(1x208)

LCM = 1034851247040/208

LCM = 4975246380

Thus, we can understand that the LCM of 131,299,292,260,348 is 4975246380.

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

• LCM of 515, 289, 792, 457, 824
• LCM of 461, 506, 108, 835, 233
• LCM of 790, 348, 484, 911, 231
• LCM of 976, 862, 333, 243, 176
• LCM of 644, 622, 489, 416, 636

1. What is the LCM of 131, 299, 292, 260, 348?

Answer: LCM of 131, 299, 292, 260, 348 is 4975246380.

2. How to calculate the LCM of 131, 299, 292, 260, 348?

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 131, 299, 292, 260, 348.

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}.