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LCM of 130, 312, 992, 529

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


Find the LCM of 130, 312, 992, 529 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 130, 312, 992, 529. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 130,312,992,529

Given numbers are 130,312,992,529

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

The LCM of 130,312,992,529 is 102329760.

Find LCM of 130,312,992,529 with Prime Factorization


2 130, 312, 992, 529
2 65, 156, 496, 529
2 65, 78, 248, 529
13 65, 39, 124, 529
5, 3, 124, 529

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

2 x 2 x 2 x 13 x 5 x 3 x 124 x 529 = 102329760

Therefore, the lowest common multiple of 130,312,992,529 is 102329760.

LCM Formula to Find Lowest Common Multiple of 130,312,992,529

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.

130 x 312 x 992 x 529 = 21284590080

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.

130 : 1, 2, 5, 10, 13, 26, 65, 130

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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

529 : 1, 23, 529

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,312,992,529, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

312:2x 2x 2x 3x 13

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

529:23x 23

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 13 = 208

Therefore, the value for common factors is 208.

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 = 21284590080/(1x208)

LCM = 21284590080/208

LCM = 102329760

Thus, we can understand that the LCM of 130,312,992,529 is 102329760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 130, 312, 992, 529

1. What is the LCM of 130, 312, 992, 529?

Answer: LCM of 130, 312, 992, 529 is 102329760.

2. How to calculate the LCM of 130, 312, 992, 529?

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 130, 312, 992, 529.

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}.