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LCM of 577, 319, 638, 549

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


Find the LCM of 577, 319, 638, 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 577, 319, 638, 549. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 577,319,638,549

Given numbers are 577,319,638,549

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

The LCM of 577,319,638,549 is 202101174.

Find LCM of 577,319,638,549 with Prime Factorization


11 577, 319, 638, 549
29 577, 29, 58, 549
577, 1, 2, 549

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

11 x 29 x 577 x 1 x 2 x 549 = 202101174

Therefore, the lowest common multiple of 577,319,638,549 is 202101174.

LCM Formula to Find Lowest Common Multiple of 577,319,638,549

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.

577 x 319 x 638 x 549 = 64470274506

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.

577 : 1, 577

319 : 1, 11, 29, 319

638 : 1, 2, 11, 22, 29, 58, 319, 638

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 577,319,638,549, is 1.

Now, the common factors can be found like this.

577:577

319:11x 29

638:2x 11x 29

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.

11x 29 = 319

Therefore, the value for common factors is 319.

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 = 64470274506/(1x319)

LCM = 64470274506/319

LCM = 202101174

Thus, we can understand that the LCM of 577,319,638,549 is 202101174.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 577, 319, 638, 549

1. What is the LCM of 577, 319, 638, 549?

Answer: LCM of 577, 319, 638, 549 is 202101174.

2. How to calculate the LCM of 577, 319, 638, 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 577, 319, 638, 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}.