LCM of 821, 378, 540, 826
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 821, 378, 540, 826 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 821, 378, 540, 826. So, keep reading to learn more.
Given numbers are 821,378,540,826
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,378,540,826 is 183099420.
Find LCM of 821,378,540,826 with Prime Factorization
| 2 | 821, 378, 540, 826 |
| 3 | 821, 189, 270, 413 |
| 3 | 821, 63, 90, 413 |
| 3 | 821, 21, 30, 413 |
| 7 | 821, 7, 10, 413 |
| 821, 1, 10, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 821 x 1 x 10 x 59 = 183099420
Therefore, the lowest common multiple of 821,378,540,826 is 183099420.
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.
821 x 378 x 540 x 826 = 138423161520
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.
821 : 1, 821
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
826 : 1, 2, 7, 14, 59, 118, 413, 826
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,378,540,826, is 1.
Now, the common factors can be found like this.
821:821
378:2x 3x 3x 3x 7
540:2x 2x 3x 3x 3x 5
826:2x 7x 59
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 3x 3x 7 = 756
Therefore, the value for common factors is 756.
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 = 138423161520/(1x756)
LCM = 138423161520/756
LCM = 183099420
Thus, we can understand that the LCM of 821,378,540,826 is 183099420.
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FAQs on LCM of 821, 378, 540, 826
1. What is the LCM of 821, 378, 540, 826?
Answer: LCM of 821, 378, 540, 826 is 183099420.
2. How to calculate the LCM of 821, 378, 540, 826?
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 821, 378, 540, 826.
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}.