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LCM of 824, 646, 884, 232, 286

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


Find the LCM of 824, 646, 884, 232, 286 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 824, 646, 884, 232, 286. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 824,646,884,232,286

Given numbers are 824,646,884,232,286

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

The LCM of 824,646,884,232,286 is 1103732344.

Find LCM of 824,646,884,232,286 with Prime Factorization


2 824, 646, 884, 232, 286
2 412, 323, 442, 116, 143
2 206, 323, 221, 58, 143
13 103, 323, 221, 29, 143
17 103, 323, 17, 29, 11
103, 19, 1, 29, 11

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

2 x 2 x 2 x 13 x 17 x 103 x 19 x 1 x 29 x 11 = 1103732344

Therefore, the lowest common multiple of 824,646,884,232,286 is 1103732344.

LCM Formula to Find Lowest Common Multiple of 824,646,884,232,286

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.

824 x 646 x 884 x 232 x 286 = 31222380547072

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.

824 : 1, 2, 4, 8, 103, 206, 412, 824

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

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

232 : 1, 2, 4, 8, 29, 58, 116, 232

286 : 1, 2, 11, 13, 22, 26, 143, 286

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,646,884,232,286, is 2.

Now, the common factors can be found like this.

824:2x 2x 2x 103

646:2x 17x 19

884:2x 2x 13x 17

232:2x 2x 2x 29

286:2x 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 2x 2x 2x 2x 13x 17 = 14144

Therefore, the value for common factors is 14144.

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 = 31222380547072/(2x14144)

LCM = 31222380547072/28288

LCM = 1103732344

Thus, we can understand that the LCM of 824,646,884,232,286 is 1103732344.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 824, 646, 884, 232, 286

1. What is the LCM of 824, 646, 884, 232, 286?

Answer: LCM of 824, 646, 884, 232, 286 is 1103732344.

2. How to calculate the LCM of 824, 646, 884, 232, 286?

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 824, 646, 884, 232, 286.

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}.