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LCM of 652, 247, 412, 884, 558

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


Find the LCM of 652, 247, 412, 884, 558 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 652, 247, 412, 884, 558. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 652,247,412,884,558

Given numbers are 652,247,412,884,558

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

The LCM of 652,247,412,884,558 is 78674664276.

Find LCM of 652,247,412,884,558 with Prime Factorization


2 652, 247, 412, 884, 558
2 326, 247, 206, 442, 279
13 163, 247, 103, 221, 279
163, 19, 103, 17, 279

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

2 x 2 x 13 x 163 x 19 x 103 x 17 x 279 = 78674664276

Therefore, the lowest common multiple of 652,247,412,884,558 is 78674664276.

LCM Formula to Find Lowest Common Multiple of 652,247,412,884,558

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.

652 x 247 x 412 x 884 x 558 = 32728660338816

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.

652 : 1, 2, 4, 163, 326, 652

247 : 1, 13, 19, 247

412 : 1, 2, 4, 103, 206, 412

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,247,412,884,558, is 1.

Now, the common factors can be found like this.

652:2x 2x 163

247:13x 19

412:2x 2x 103

884:2x 2x 13x 17

558:2x 3x 3x 31

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 2x 13 = 416

Therefore, the value for common factors is 416.

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 = 32728660338816/(1x416)

LCM = 32728660338816/416

LCM = 78674664276

Thus, we can understand that the LCM of 652,247,412,884,558 is 78674664276.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 652, 247, 412, 884, 558

1. What is the LCM of 652, 247, 412, 884, 558?

Answer: LCM of 652, 247, 412, 884, 558 is 78674664276.

2. How to calculate the LCM of 652, 247, 412, 884, 558?

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 652, 247, 412, 884, 558.

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}.