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LCM of 549, 323, 414, 428

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


Find the LCM of 549, 323, 414, 428 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 549, 323, 414, 428. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 549,323,414,428

Given numbers are 549,323,414,428

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

The LCM of 549,323,414,428 is 1745606988.

Find LCM of 549,323,414,428 with Prime Factorization


2 549, 323, 414, 428
3 549, 323, 207, 214
3 183, 323, 69, 214
61, 323, 23, 214

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

2 x 3 x 3 x 61 x 323 x 23 x 214 = 1745606988

Therefore, the lowest common multiple of 549,323,414,428 is 1745606988.

LCM Formula to Find Lowest Common Multiple of 549,323,414,428

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.

549 x 323 x 414 x 428 = 31420925784

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.

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

323 : 1, 17, 19, 323

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,323,414,428, is 1.

Now, the common factors can be found like this.

549:3x 3x 61

323:17x 19

414:2x 3x 3x 23

428:2x 2x 107

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 31420925784/(1x18)

LCM = 31420925784/18

LCM = 1745606988

Thus, we can understand that the LCM of 549,323,414,428 is 1745606988.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 549, 323, 414, 428

1. What is the LCM of 549, 323, 414, 428?

Answer: LCM of 549, 323, 414, 428 is 1745606988.

2. How to calculate the LCM of 549, 323, 414, 428?

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 549, 323, 414, 428.

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}.