Given numbers are 269,269,529,361,378

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

The LCM of 269,269,529,361,378 is 19418109858.

Find LCM of 269,269,529,361,378 with Prime Factorization

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

269 x 1 x 1 x 529 x 361 x 378 = 19418109858

Therefore, the lowest common multiple of 269,269,529,361,378 is 19418109858.

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.

269 x 269 x 529 x 361 x 378 = 5223471551802

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.

269 : 1, 269

269 : 1, 269

529 : 1, 23, 529

361 : 1, 19, 361

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,269,529,361,378, is 1.

Now, the common factors can be found like this.

269:269

269:269

529:23x 23

361:19x 19

378:2x 3x 3x 3x 7

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

269 = 269

Therefore, the value for common factors is 269.

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 = 5223471551802/(1x269)

LCM = 5223471551802/269

LCM = 19418109858

Thus, we can understand that the LCM of 269,269,529,361,378 is 19418109858.

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

• LCM of 458, 559, 474, 115, 752
• LCM of 474, 696, 873, 705, 672
• LCM of 650, 602, 584, 652, 234
• LCM of 721, 246, 929, 216, 477
• LCM of 181, 792, 721, 234, 809

1. What is the LCM of 269, 269, 529, 361, 378?

Answer: LCM of 269, 269, 529, 361, 378 is 19418109858.

2. How to calculate the LCM of 269, 269, 529, 361, 378?

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 269, 269, 529, 361, 378.

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}.