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LCM of 988, 815, 520, 414, 572

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


Find the LCM of 988, 815, 520, 414, 572 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, 815, 520, 414, 572. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 988,815,520,414,572

Given numbers are 988,815,520,414,572

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

The LCM of 988,815,520,414,572 is 3666971880.

Find LCM of 988,815,520,414,572 with Prime Factorization


2 988, 815, 520, 414, 572
2 494, 815, 260, 207, 286
5 247, 815, 130, 207, 143
13 247, 163, 26, 207, 143
19, 163, 2, 207, 11

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

2 x 2 x 5 x 13 x 19 x 163 x 2 x 207 x 11 = 3666971880

Therefore, the lowest common multiple of 988,815,520,414,572 is 3666971880.

LCM Formula to Find Lowest Common Multiple of 988,815,520,414,572

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 815 x 520 x 414 x 572 = 99154919635200

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

815 : 1, 5, 163, 815

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,815,520,414,572, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

815:5x 163

520:2x 2x 2x 5x 13

414:2x 3x 3x 23

572:2x 2x 11x 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 2x 5x 13x 13 = 27040

Therefore, the value for common factors is 27040.

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 = 99154919635200/(1x27040)

LCM = 99154919635200/27040

LCM = 3666971880

Thus, we can understand that the LCM of 988,815,520,414,572 is 3666971880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 988, 815, 520, 414, 572

1. What is the LCM of 988, 815, 520, 414, 572?

Answer: LCM of 988, 815, 520, 414, 572 is 3666971880.

2. How to calculate the LCM of 988, 815, 520, 414, 572?

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, 815, 520, 414, 572.

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}.