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LCM of 812, 338, 524, 854

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


Find the LCM of 812, 338, 524, 854 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 812, 338, 524, 854. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 812,338,524,854

Given numbers are 812,338,524,854

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

The LCM of 812,338,524,854 is 1096588948.

Find LCM of 812,338,524,854 with Prime Factorization


2 812, 338, 524, 854
2 406, 169, 262, 427
7 203, 169, 131, 427
29, 169, 131, 61

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

2 x 2 x 7 x 29 x 169 x 131 x 61 = 1096588948

Therefore, the lowest common multiple of 812,338,524,854 is 1096588948.

LCM Formula to Find Lowest Common Multiple of 812,338,524,854

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.

812 x 338 x 524 x 854 = 122817962176

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.

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

338 : 1, 2, 13, 26, 169, 338

524 : 1, 2, 4, 131, 262, 524

854 : 1, 2, 7, 14, 61, 122, 427, 854

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,338,524,854, is 2.

Now, the common factors can be found like this.

812:2x 2x 7x 29

338:2x 13x 13

524:2x 2x 131

854:2x 7x 61

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 7 = 56

Therefore, the value for common factors is 56.

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 = 122817962176/(2x56)

LCM = 122817962176/112

LCM = 1096588948

Thus, we can understand that the LCM of 812,338,524,854 is 1096588948.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 812, 338, 524, 854

1. What is the LCM of 812, 338, 524, 854?

Answer: LCM of 812, 338, 524, 854 is 1096588948.

2. How to calculate the LCM of 812, 338, 524, 854?

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 812, 338, 524, 854.

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}.