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LCM of 988, 988, 992, 364

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


Find the LCM of 988, 988, 992, 364 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, 988, 992, 364. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 988,988,992,364

Given numbers are 988,988,992,364

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

The LCM of 988,988,992,364 is 1715168.

Find LCM of 988,988,992,364 with Prime Factorization


2 988, 988, 992, 364
2 494, 494, 496, 182
13 247, 247, 248, 91
19 19, 19, 248, 7
1, 1, 248, 7

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

2 x 2 x 13 x 19 x 1 x 1 x 248 x 7 = 1715168

Therefore, the lowest common multiple of 988,988,992,364 is 1715168.

LCM Formula to Find Lowest Common Multiple of 988,988,992,364

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 988 x 992 x 364 = 352473884672

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

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

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,988,992,364, is 4.

Now, the common factors can be found like this.

988:2x 2x 13x 19

988:2x 2x 13x 19

992:2x 2x 2x 2x 2x 31

364:2x 2x 7x 13

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 13x 13x 19 = 51376

Therefore, the value for common factors is 51376.

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 = 352473884672/(4x51376)

LCM = 352473884672/205504

LCM = 1715168

Thus, we can understand that the LCM of 988,988,992,364 is 1715168.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 988, 988, 992, 364

1. What is the LCM of 988, 988, 992, 364?

Answer: LCM of 988, 988, 992, 364 is 1715168.

2. How to calculate the LCM of 988, 988, 992, 364?

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, 988, 992, 364.

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}.