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LCM of 989, 817, 514, 129

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


Find the LCM of 989, 817, 514, 129 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 989, 817, 514, 129. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 989,817,514,129

Given numbers are 989,817,514,129

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

The LCM of 989,817,514,129 is 28975722.

Find LCM of 989,817,514,129 with Prime Factorization


43 989, 817, 514, 129
23, 19, 514, 3

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

43 x 23 x 19 x 514 x 3 = 28975722

Therefore, the lowest common multiple of 989,817,514,129 is 28975722.

LCM Formula to Find Lowest Common Multiple of 989,817,514,129

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.

989 x 817 x 514 x 129 = 53576109978

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.

989 : 1, 23, 43, 989

817 : 1, 19, 43, 817

514 : 1, 2, 257, 514

129 : 1, 3, 43, 129

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,817,514,129, is 1.

Now, the common factors can be found like this.

989:23x 43

817:19x 43

514:2x 257

129:3x 43

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

43x 43 = 1849

Therefore, the value for common factors is 1849.

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 = 53576109978/(1x1849)

LCM = 53576109978/1849

LCM = 28975722

Thus, we can understand that the LCM of 989,817,514,129 is 28975722.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 989, 817, 514, 129

1. What is the LCM of 989, 817, 514, 129?

Answer: LCM of 989, 817, 514, 129 is 28975722.

2. How to calculate the LCM of 989, 817, 514, 129?

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 989, 817, 514, 129.

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}.