Given numbers are 261,713,397,363,348

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

The LCM of 261,713,397,363,348 is 35757397764.

Find LCM of 261,713,397,363,348 with Prime Factorization

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

3 x 29 x 3 x 713 x 397 x 121 x 4 = 35757397764

Therefore, the lowest common multiple of 261,713,397,363,348 is 35757397764.

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.

261 x 713 x 397 x 363 x 348 = 9332680816404

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.

261 : 1, 3, 9, 29, 87, 261

713 : 1, 23, 31, 713

397 : 1, 397

363 : 1, 3, 11, 33, 121, 363

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 261,713,397,363,348, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

713:23x 31

397:397

363:3x 11x 11

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.

3x 3x 29 = 261

Therefore, the value for common factors is 261.

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 = 9332680816404/(1x261)

LCM = 9332680816404/261

LCM = 35757397764

Thus, we can understand that the LCM of 261,713,397,363,348 is 35757397764.

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

• LCM of 890, 411, 415, 718, 806
• LCM of 901, 345, 788, 747, 417
• LCM of 105, 777, 702, 123, 974
• LCM of 940, 397, 951, 518, 145
• LCM of 638, 908, 449, 325, 873

1. What is the LCM of 261, 713, 397, 363, 348?

Answer: LCM of 261, 713, 397, 363, 348 is 35757397764.

2. How to calculate the LCM of 261, 713, 397, 363, 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 261, 713, 397, 363, 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}.