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LCM of 624, 303, 341, 549

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


Find the LCM of 624, 303, 341, 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 624, 303, 341, 549. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 624,303,341,549

Given numbers are 624,303,341,549

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

The LCM of 624,303,341,549 is 3932886672.

Find LCM of 624,303,341,549 with Prime Factorization


3 624, 303, 341, 549
208, 101, 341, 183

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

3 x 208 x 101 x 341 x 183 = 3932886672

Therefore, the lowest common multiple of 624,303,341,549 is 3932886672.

LCM Formula to Find Lowest Common Multiple of 624,303,341,549

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.

624 x 303 x 341 x 549 = 35395980048

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

303 : 1, 3, 101, 303

341 : 1, 11, 31, 341

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 624,303,341,549, is 1.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

303:3x 101

341:11x 31

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 3 = 9

Therefore, the value for common factors is 9.

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 = 35395980048/(1x9)

LCM = 35395980048/9

LCM = 3932886672

Thus, we can understand that the LCM of 624,303,341,549 is 3932886672.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 624, 303, 341, 549

1. What is the LCM of 624, 303, 341, 549?

Answer: LCM of 624, 303, 341, 549 is 3932886672.

2. How to calculate the LCM of 624, 303, 341, 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 624, 303, 341, 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}.