LCM of 326, 206, 744, 824, 815
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 326, 206, 744, 824, 815 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 326, 206, 744, 824, 815. So, keep reading to learn more.
Given numbers are 326,206,744,824,815
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 326,206,744,824,815 is 62455080.
Find LCM of 326,206,744,824,815 with Prime Factorization
| 2 | 326, 206, 744, 824, 815 |
| 2 | 163, 103, 372, 412, 815 |
| 2 | 163, 103, 186, 206, 815 |
| 103 | 163, 103, 93, 103, 815 |
| 163 | 163, 1, 93, 1, 815 |
| 1, 1, 93, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 103 x 163 x 1 x 1 x 93 x 1 x 5 = 62455080
Therefore, the lowest common multiple of 326,206,744,824,815 is 62455080.
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.
326 x 206 x 744 x 824 x 815 = 33553866819840
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.
326 : 1, 2, 163, 326
206 : 1, 2, 103, 206
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
824 : 1, 2, 4, 8, 103, 206, 412, 824
815 : 1, 5, 163, 815
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,206,744,824,815, is 1.
Now, the common factors can be found like this.
326:2x 163
206:2x 103
744:2x 2x 2x 3x 31
824:2x 2x 2x 103
815:5x 163
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 103x 163 = 537248
Therefore, the value for common factors is 537248.
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 = 33553866819840/(1x537248)
LCM = 33553866819840/537248
LCM = 62455080
Thus, we can understand that the LCM of 326,206,744,824,815 is 62455080.
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FAQs on LCM of 326, 206, 744, 824, 815
1. What is the LCM of 326, 206, 744, 824, 815?
Answer: LCM of 326, 206, 744, 824, 815 is 62455080.
2. How to calculate the LCM of 326, 206, 744, 824, 815?
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 326, 206, 744, 824, 815.
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}.