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LCM of 249, 371, 265, 549

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


Find the LCM of 249, 371, 265, 549 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 249, 371, 265, 549. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 249,371,265,549

Given numbers are 249,371,265,549

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

The LCM of 249,371,265,549 is 84526785.

Find LCM of 249,371,265,549 with Prime Factorization


3 249, 371, 265, 549
53 83, 371, 265, 183
83, 7, 5, 183

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

3 x 53 x 83 x 7 x 5 x 183 = 84526785

Therefore, the lowest common multiple of 249,371,265,549 is 84526785.

LCM Formula to Find Lowest Common Multiple of 249,371,265,549

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.

249 x 371 x 265 x 549 = 13439758815

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.

249 : 1, 3, 83, 249

371 : 1, 7, 53, 371

265 : 1, 5, 53, 265

549 : 1, 3, 9, 61, 183, 549

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,371,265,549, is 1.

Now, the common factors can be found like this.

249:3x 83

371:7x 53

265:5x 53

549:3x 3x 61

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

3x 53 = 159

Therefore, the value for common factors is 159.

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 = 13439758815/(1x159)

LCM = 13439758815/159

LCM = 84526785

Thus, we can understand that the LCM of 249,371,265,549 is 84526785.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 249, 371, 265, 549

1. What is the LCM of 249, 371, 265, 549?

Answer: LCM of 249, 371, 265, 549 is 84526785.

2. How to calculate the LCM of 249, 371, 265, 549?

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 249, 371, 265, 549.

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}.