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LCM of 338, 254, 922, 284

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


Find the LCM of 338, 254, 922, 284 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 338, 254, 922, 284. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 338,254,922,284

Given numbers are 338,254,922,284

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

The LCM of 338,254,922,284 is 2810021812.

Find LCM of 338,254,922,284 with Prime Factorization


2 338, 254, 922, 284
169, 127, 461, 142

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

2 x 169 x 127 x 461 x 142 = 2810021812

Therefore, the lowest common multiple of 338,254,922,284 is 2810021812.

LCM Formula to Find Lowest Common Multiple of 338,254,922,284

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.

338 x 254 x 922 x 284 = 22480174496

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.

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

254 : 1, 2, 127, 254

922 : 1, 2, 461, 922

284 : 1, 2, 4, 71, 142, 284

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,254,922,284, is 2.

Now, the common factors can be found like this.

338:2x 13x 13

254:2x 127

922:2x 461

284:2x 2x 71

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 22480174496/(2x4)

LCM = 22480174496/8

LCM = 2810021812

Thus, we can understand that the LCM of 338,254,922,284 is 2810021812.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 338, 254, 922, 284

1. What is the LCM of 338, 254, 922, 284?

Answer: LCM of 338, 254, 922, 284 is 2810021812.

2. How to calculate the LCM of 338, 254, 922, 284?

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 338, 254, 922, 284.

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}.