Given numbers are 252,269,575,884,269

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

The LCM of 252,269,575,884,269 is 8614160100.

Find LCM of 252,269,575,884,269 with Prime Factorization

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

2 x 2 x 269 x 63 x 1 x 575 x 221 x 1 = 8614160100

Therefore, the lowest common multiple of 252,269,575,884,269 is 8614160100.

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.

252 x 269 x 575 x 884 x 269 = 9268836267600

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.

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

269 : 1, 269

575 : 1, 5, 23, 25, 115, 575

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,269,575,884,269, is 1.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

269:269

575:5x 5x 23

884:2x 2x 13x 17

269:269

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 269 = 1076

Therefore, the value for common factors is 1076.

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 = 9268836267600/(1x1076)

LCM = 9268836267600/1076

LCM = 8614160100

Thus, we can understand that the LCM of 252,269,575,884,269 is 8614160100.

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

• LCM of 845, 219, 470, 131, 899
• LCM of 388, 781, 407, 461, 788
• LCM of 653, 539, 918, 101, 897
• LCM of 569, 391, 594, 728, 581
• LCM of 809, 941, 567, 187, 759

1. What is the LCM of 252, 269, 575, 884, 269?

Answer: LCM of 252, 269, 575, 884, 269 is 8614160100.

2. How to calculate the LCM of 252, 269, 575, 884, 269?

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 252, 269, 575, 884, 269.

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}.