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LCM of 827, 924, 825, 476, 845

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


Find the LCM of 827, 924, 825, 476, 845 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 827, 924, 825, 476, 845. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 827,924,825,476,845

Given numbers are 827,924,825,476,845

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

The LCM of 827,924,825,476,845 is 54884930100.

Find LCM of 827,924,825,476,845 with Prime Factorization


2 827, 924, 825, 476, 845
2 827, 462, 825, 238, 845
3 827, 231, 825, 119, 845
5 827, 77, 275, 119, 845
7 827, 77, 55, 119, 169
11 827, 11, 55, 17, 169
827, 1, 5, 17, 169

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

2 x 2 x 3 x 5 x 7 x 11 x 827 x 1 x 5 x 17 x 169 = 54884930100

Therefore, the lowest common multiple of 827,924,825,476,845 is 54884930100.

LCM Formula to Find Lowest Common Multiple of 827,924,825,476,845

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.

827 x 924 x 825 x 476 x 845 = 253568377062000

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.

827 : 1, 827

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

845 : 1, 5, 13, 65, 169, 845

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,924,825,476,845, is 1.

Now, the common factors can be found like this.

827:827

924:2x 2x 3x 7x 11

825:3x 5x 5x 11

476:2x 2x 7x 17

845:5x 13x 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 3x 5x 7x 11 = 4620

Therefore, the value for common factors is 4620.

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 = 253568377062000/(1x4620)

LCM = 253568377062000/4620

LCM = 54884930100

Thus, we can understand that the LCM of 827,924,825,476,845 is 54884930100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 827, 924, 825, 476, 845

1. What is the LCM of 827, 924, 825, 476, 845?

Answer: LCM of 827, 924, 825, 476, 845 is 54884930100.

2. How to calculate the LCM of 827, 924, 825, 476, 845?

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 827, 924, 825, 476, 845.

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}.