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LCM of 242, 255, 403, 416

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


Find the LCM of 242, 255, 403, 416 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 242, 255, 403, 416. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 242,255,403,416

Given numbers are 242,255,403,416

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

The LCM of 242,255,403,416 is 397906080.

Find LCM of 242,255,403,416 with Prime Factorization


2 242, 255, 403, 416
13 121, 255, 403, 208
121, 255, 31, 16

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

2 x 13 x 121 x 255 x 31 x 16 = 397906080

Therefore, the lowest common multiple of 242,255,403,416 is 397906080.

LCM Formula to Find Lowest Common Multiple of 242,255,403,416

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.

242 x 255 x 403 x 416 = 10345558080

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.

242 : 1, 2, 11, 22, 121, 242

255 : 1, 3, 5, 15, 17, 51, 85, 255

403 : 1, 13, 31, 403

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,255,403,416, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

255:3x 5x 17

403:13x 31

416:2x 2x 2x 2x 2x 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 13 = 26

Therefore, the value for common factors is 26.

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 = 10345558080/(1x26)

LCM = 10345558080/26

LCM = 397906080

Thus, we can understand that the LCM of 242,255,403,416 is 397906080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 242, 255, 403, 416

1. What is the LCM of 242, 255, 403, 416?

Answer: LCM of 242, 255, 403, 416 is 397906080.

2. How to calculate the LCM of 242, 255, 403, 416?

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 242, 255, 403, 416.

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}.