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LCM of 838, 549, 986, 244, 490

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


Find the LCM of 838, 549, 986, 244, 490 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 838, 549, 986, 244, 490. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 838,549,986,244,490

Given numbers are 838,549,986,244,490

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

The LCM of 838,549,986,244,490 is 111137177340.

Find LCM of 838,549,986,244,490 with Prime Factorization


2 838, 549, 986, 244, 490
61 419, 549, 493, 122, 245
419, 9, 493, 2, 245

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

2 x 61 x 419 x 9 x 493 x 2 x 245 = 111137177340

Therefore, the lowest common multiple of 838,549,986,244,490 is 111137177340.

LCM Formula to Find Lowest Common Multiple of 838,549,986,244,490

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.

838 x 549 x 986 x 244 x 490 = 54234942541920

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.

838 : 1, 2, 419, 838

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

986 : 1, 2, 17, 29, 34, 58, 493, 986

244 : 1, 2, 4, 61, 122, 244

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,549,986,244,490, is 1.

Now, the common factors can be found like this.

838:2x 419

549:3x 3x 61

986:2x 17x 29

244:2x 2x 61

490:2x 5x 7x 7

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

2x 2x 2x 61 = 488

Therefore, the value for common factors is 488.

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 = 54234942541920/(1x488)

LCM = 54234942541920/488

LCM = 111137177340

Thus, we can understand that the LCM of 838,549,986,244,490 is 111137177340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 838, 549, 986, 244, 490

1. What is the LCM of 838, 549, 986, 244, 490?

Answer: LCM of 838, 549, 986, 244, 490 is 111137177340.

2. How to calculate the LCM of 838, 549, 986, 244, 490?

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 838, 549, 986, 244, 490.

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}.