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LCM of 224, 488, 680, 646, 562

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


Find the LCM of 224, 488, 680, 646, 562 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 224, 488, 680, 646, 562. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 224,488,680,646,562

Given numbers are 224,488,680,646,562

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

The LCM of 224,488,680,646,562 is 6200928160.

Find LCM of 224,488,680,646,562 with Prime Factorization


2 224, 488, 680, 646, 562
2 112, 244, 340, 323, 281
2 56, 122, 170, 323, 281
17 28, 61, 85, 323, 281
28, 61, 5, 19, 281

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

2 x 2 x 2 x 17 x 28 x 61 x 5 x 19 x 281 = 6200928160

Therefore, the lowest common multiple of 224,488,680,646,562 is 6200928160.

LCM Formula to Find Lowest Common Multiple of 224,488,680,646,562

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.

224 x 488 x 680 x 646 x 562 = 26986439352320

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.

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

488 : 1, 2, 4, 8, 61, 122, 244, 488

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

646 : 1, 2, 17, 19, 34, 38, 323, 646

562 : 1, 2, 281, 562

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,488,680,646,562, is 2.

Now, the common factors can be found like this.

224:2x 2x 2x 2x 2x 7

488:2x 2x 2x 61

680:2x 2x 2x 5x 17

646:2x 17x 19

562:2x 281

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 2x 2x 17 = 2176

Therefore, the value for common factors is 2176.

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 = 26986439352320/(2x2176)

LCM = 26986439352320/4352

LCM = 6200928160

Thus, we can understand that the LCM of 224,488,680,646,562 is 6200928160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 224, 488, 680, 646, 562

1. What is the LCM of 224, 488, 680, 646, 562?

Answer: LCM of 224, 488, 680, 646, 562 is 6200928160.

2. How to calculate the LCM of 224, 488, 680, 646, 562?

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 224, 488, 680, 646, 562.

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}.