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LCM of 517, 871, 410, 536

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


Find the LCM of 517, 871, 410, 536 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, 871, 410, 536. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 517,871,410,536

Given numbers are 517,871,410,536

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

The LCM of 517,871,410,536 is 738503480.

Find LCM of 517,871,410,536 with Prime Factorization


2 517, 871, 410, 536
67 517, 871, 205, 268
517, 13, 205, 4

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

2 x 67 x 517 x 13 x 205 x 4 = 738503480

Therefore, the lowest common multiple of 517,871,410,536 is 738503480.

LCM Formula to Find Lowest Common Multiple of 517,871,410,536

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 871 x 410 x 536 = 98959466320

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

871 : 1, 13, 67, 871

410 : 1, 2, 5, 10, 41, 82, 205, 410

536 : 1, 2, 4, 8, 67, 134, 268, 536

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,871,410,536, is 1.

Now, the common factors can be found like this.

517:11x 47

871:13x 67

410:2x 5x 41

536:2x 2x 2x 67

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

2x 67 = 134

Therefore, the value for common factors is 134.

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 = 98959466320/(1x134)

LCM = 98959466320/134

LCM = 738503480

Thus, we can understand that the LCM of 517,871,410,536 is 738503480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 517, 871, 410, 536

1. What is the LCM of 517, 871, 410, 536?

Answer: LCM of 517, 871, 410, 536 is 738503480.

2. How to calculate the LCM of 517, 871, 410, 536?

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, 871, 410, 536.

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}.