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LCM of 823, 824, 592, 438, 948

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


Find the LCM of 823, 824, 592, 438, 948 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 823, 824, 592, 438, 948. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 823,824,592,438,948

Given numbers are 823,824,592,438,948

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

The LCM of 823,824,592,438,948 is 868220373648.

Find LCM of 823,824,592,438,948 with Prime Factorization


2 823, 824, 592, 438, 948
2 823, 412, 296, 219, 474
2 823, 206, 148, 219, 237
3 823, 103, 74, 219, 237
823, 103, 74, 73, 79

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

2 x 2 x 2 x 3 x 823 x 103 x 74 x 73 x 79 = 868220373648

Therefore, the lowest common multiple of 823,824,592,438,948 is 868220373648.

LCM Formula to Find Lowest Common Multiple of 823,824,592,438,948

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.

823 x 824 x 592 x 438 x 948 = 166698311740416

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.

823 : 1, 823

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

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

438 : 1, 2, 3, 6, 73, 146, 219, 438

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 823,824,592,438,948, is 1.

Now, the common factors can be found like this.

823:823

824:2x 2x 2x 103

592:2x 2x 2x 2x 37

438:2x 3x 73

948:2x 2x 3x 79

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 3 = 192

Therefore, the value for common factors is 192.

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 = 166698311740416/(1x192)

LCM = 166698311740416/192

LCM = 868220373648

Thus, we can understand that the LCM of 823,824,592,438,948 is 868220373648.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 823, 824, 592, 438, 948

1. What is the LCM of 823, 824, 592, 438, 948?

Answer: LCM of 823, 824, 592, 438, 948 is 868220373648.

2. How to calculate the LCM of 823, 824, 592, 438, 948?

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 823, 824, 592, 438, 948.

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}.