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LCM of 129, 459, 972, 988, 424

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


Find the LCM of 129, 459, 972, 988, 424 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 129, 459, 972, 988, 424. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 129,459,972,988,424

Given numbers are 129,459,972,988,424

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

The LCM of 129,459,972,988,424 is 18603148824.

Find LCM of 129,459,972,988,424 with Prime Factorization


2 129, 459, 972, 988, 424
2 129, 459, 486, 494, 212
3 129, 459, 243, 247, 106
3 43, 153, 81, 247, 106
3 43, 51, 27, 247, 106
43, 17, 9, 247, 106

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

2 x 2 x 3 x 3 x 3 x 43 x 17 x 9 x 247 x 106 = 18603148824

Therefore, the lowest common multiple of 129,459,972,988,424 is 18603148824.

LCM Formula to Find Lowest Common Multiple of 129,459,972,988,424

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.

129 x 459 x 972 x 988 x 424 = 24109680875904

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.

129 : 1, 3, 43, 129

459 : 1, 3, 9, 17, 27, 51, 153, 459

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 129,459,972,988,424, is 1.

Now, the common factors can be found like this.

129:3x 43

459:3x 3x 3x 17

972:2x 2x 3x 3x 3x 3x 3

988:2x 2x 13x 19

424:2x 2x 2x 53

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 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 24109680875904/(1x1296)

LCM = 24109680875904/1296

LCM = 18603148824

Thus, we can understand that the LCM of 129,459,972,988,424 is 18603148824.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 129, 459, 972, 988, 424

1. What is the LCM of 129, 459, 972, 988, 424?

Answer: LCM of 129, 459, 972, 988, 424 is 18603148824.

2. How to calculate the LCM of 129, 459, 972, 988, 424?

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 129, 459, 972, 988, 424.

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}.