Given numbers are 254,269,491,192,348

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

The LCM of 254,269,491,192,348 is 93397815744.

Find LCM of 254,269,491,192,348 with Prime Factorization

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

2 x 2 x 3 x 127 x 269 x 491 x 16 x 29 = 93397815744

Therefore, the lowest common multiple of 254,269,491,192,348 is 93397815744.

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.

254 x 269 x 491 x 192 x 348 = 2241547577856

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.

254 : 1, 2, 127, 254

269 : 1, 269

491 : 1, 491

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

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 254,269,491,192,348, is 1.

Now, the common factors can be found like this.

254:2x 127

269:269

491:491

192:2x 2x 2x 2x 2x 2x 3

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 3 = 24

Therefore, the value for common factors is 24.

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 = 2241547577856/(1x24)

LCM = 2241547577856/24

LCM = 93397815744

Thus, we can understand that the LCM of 254,269,491,192,348 is 93397815744.

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

• LCM of 616, 793, 683, 452, 567
• LCM of 648, 208, 310, 209, 736
• LCM of 525, 206, 372, 916, 224
• LCM of 567, 740, 658, 831, 419
• LCM of 259, 187, 701, 601, 490

1. What is the LCM of 254, 269, 491, 192, 348?

Answer: LCM of 254, 269, 491, 192, 348 is 93397815744.

2. How to calculate the LCM of 254, 269, 491, 192, 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 254, 269, 491, 192, 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}.