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LCM of 269, 426, 556, 825, 338

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 269, 426, 556, 825, 338 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 269, 426, 556, 825, 338. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 269,426,556,825,338

Given numbers are 269,426,556,825,338

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

The LCM of 269,426,556,825,338 is 1480560209700.

Find LCM of 269,426,556,825,338 with Prime Factorization


2 269, 426, 556, 825, 338
3 269, 213, 278, 825, 169
269, 71, 278, 275, 169

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

2 x 3 x 269 x 71 x 278 x 275 x 169 = 1480560209700

Therefore, the lowest common multiple of 269,426,556,825,338 is 1480560209700.

LCM Formula to Find Lowest Common Multiple of 269,426,556,825,338

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 426 x 556 x 825 x 338 = 17766722516400

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

426 : 1, 2, 3, 6, 71, 142, 213, 426

556 : 1, 2, 4, 139, 278, 556

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,426,556,825,338, is 1.

Now, the common factors can be found like this.

269:269

426:2x 3x 71

556:2x 2x 139

825:3x 5x 5x 11

338:2x 13x 13

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 3 = 12

Therefore, the value for common factors is 12.

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 = 17766722516400/(1x12)

LCM = 17766722516400/12

LCM = 1480560209700

Thus, we can understand that the LCM of 269,426,556,825,338 is 1480560209700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 269, 426, 556, 825, 338

1. What is the LCM of 269, 426, 556, 825, 338?

Answer: LCM of 269, 426, 556, 825, 338 is 1480560209700.

2. How to calculate the LCM of 269, 426, 556, 825, 338?

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, 426, 556, 825, 338.

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}.