LCM of 820, 779, 645, 412, 123
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 820, 779, 645, 412, 123 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 820, 779, 645, 412, 123. So, keep reading to learn more.
Given numbers are 820,779,645,412,123
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 820,779,645,412,123 is 207011460.
Find LCM of 820,779,645,412,123 with Prime Factorization
| 2 | 820, 779, 645, 412, 123 |
| 2 | 410, 779, 645, 206, 123 |
| 3 | 205, 779, 645, 103, 123 |
| 5 | 205, 779, 215, 103, 41 |
| 41 | 41, 779, 43, 103, 41 |
| 1, 19, 43, 103, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 41 x 1 x 19 x 43 x 103 x 1 = 207011460
Therefore, the lowest common multiple of 820,779,645,412,123 is 207011460.
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.
820 x 779 x 645 x 412 x 123 = 20879175855600
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.
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
779 : 1, 19, 41, 779
645 : 1, 3, 5, 15, 43, 129, 215, 645
412 : 1, 2, 4, 103, 206, 412
123 : 1, 3, 41, 123
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,779,645,412,123, is 1.
Now, the common factors can be found like this.
820:2x 2x 5x 41
779:19x 41
645:3x 5x 43
412:2x 2x 103
123:3x 41
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 41x 41 = 100860
Therefore, the value for common factors is 100860.
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 = 20879175855600/(1x100860)
LCM = 20879175855600/100860
LCM = 207011460
Thus, we can understand that the LCM of 820,779,645,412,123 is 207011460.
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FAQs on LCM of 820, 779, 645, 412, 123
1. What is the LCM of 820, 779, 645, 412, 123?
Answer: LCM of 820, 779, 645, 412, 123 is 207011460.
2. How to calculate the LCM of 820, 779, 645, 412, 123?
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 820, 779, 645, 412, 123.
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}.