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LCM of 517, 815, 978, 718

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


Find the LCM of 517, 815, 978, 718 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, 815, 978, 718. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 517,815,978,718

Given numbers are 517,815,978,718

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

The LCM of 517,815,978,718 is 907598670.

Find LCM of 517,815,978,718 with Prime Factorization


2 517, 815, 978, 718
163 517, 815, 489, 359
517, 5, 3, 359

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

2 x 163 x 517 x 5 x 3 x 359 = 907598670

Therefore, the lowest common multiple of 517,815,978,718 is 907598670.

LCM Formula to Find Lowest Common Multiple of 517,815,978,718

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 815 x 978 x 718 = 295877166420

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

815 : 1, 5, 163, 815

978 : 1, 2, 3, 6, 163, 326, 489, 978

718 : 1, 2, 359, 718

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,815,978,718, is 1.

Now, the common factors can be found like this.

517:11x 47

815:5x 163

978:2x 3x 163

718:2x 359

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

2x 163 = 326

Therefore, the value for common factors is 326.

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 = 295877166420/(1x326)

LCM = 295877166420/326

LCM = 907598670

Thus, we can understand that the LCM of 517,815,978,718 is 907598670.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 517, 815, 978, 718

1. What is the LCM of 517, 815, 978, 718?

Answer: LCM of 517, 815, 978, 718 is 907598670.

2. How to calculate the LCM of 517, 815, 978, 718?

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, 815, 978, 718.

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}.