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LCM of 988, 554, 694, 304, 103

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


Find the LCM of 988, 554, 694, 304, 103 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 988, 554, 694, 304, 103. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 988,554,694,304,103

Given numbers are 988,554,694,304,103

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

The LCM of 988,554,694,304,103 is 39125815664.

Find LCM of 988,554,694,304,103 with Prime Factorization


2 988, 554, 694, 304, 103
2 494, 277, 347, 152, 103
19 247, 277, 347, 76, 103
13, 277, 347, 4, 103

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

2 x 2 x 19 x 13 x 277 x 347 x 4 x 103 = 39125815664

Therefore, the lowest common multiple of 988,554,694,304,103 is 39125815664.

LCM Formula to Find Lowest Common Multiple of 988,554,694,304,103

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.

988 x 554 x 694 x 304 x 103 = 11894247961856

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.

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

554 : 1, 2, 277, 554

694 : 1, 2, 347, 694

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

103 : 1, 103

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,554,694,304,103, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

554:2x 277

694:2x 347

304:2x 2x 2x 2x 19

103:103

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 2x 19 = 304

Therefore, the value for common factors is 304.

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 = 11894247961856/(1x304)

LCM = 11894247961856/304

LCM = 39125815664

Thus, we can understand that the LCM of 988,554,694,304,103 is 39125815664.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 988, 554, 694, 304, 103

1. What is the LCM of 988, 554, 694, 304, 103?

Answer: LCM of 988, 554, 694, 304, 103 is 39125815664.

2. How to calculate the LCM of 988, 554, 694, 304, 103?

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 988, 554, 694, 304, 103.

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}.