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LCM of 517, 728, 340, 143

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


Find the LCM of 517, 728, 340, 143 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 517, 728, 340, 143. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 517,728,340,143

Given numbers are 517,728,340,143

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

The LCM of 517,728,340,143 is 31991960.

Find LCM of 517,728,340,143 with Prime Factorization


2 517, 728, 340, 143
2 517, 364, 170, 143
11 517, 182, 85, 143
13 47, 182, 85, 13
47, 14, 85, 1

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

2 x 2 x 11 x 13 x 47 x 14 x 85 x 1 = 31991960

Therefore, the lowest common multiple of 517,728,340,143 is 31991960.

LCM Formula to Find Lowest Common Multiple of 517,728,340,143

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.

517 x 728 x 340 x 143 = 18299401120

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.

517 : 1, 11, 47, 517

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,728,340,143, is 1.

Now, the common factors can be found like this.

517:11x 47

728:2x 2x 2x 7x 13

340:2x 2x 5x 17

143:11x 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 11x 13 = 572

Therefore, the value for common factors is 572.

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 = 18299401120/(1x572)

LCM = 18299401120/572

LCM = 31991960

Thus, we can understand that the LCM of 517,728,340,143 is 31991960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 517, 728, 340, 143

1. What is the LCM of 517, 728, 340, 143?

Answer: LCM of 517, 728, 340, 143 is 31991960.

2. How to calculate the LCM of 517, 728, 340, 143?

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 517, 728, 340, 143.

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}.