LCM of 515, 774, 820, 779, 121
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 774, 820, 779, 121 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 515, 774, 820, 779, 121. So, keep reading to learn more.
Given numbers are 515,774,820,779,121
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,774,820,779,121 is 75145159980.
Find LCM of 515,774,820,779,121 with Prime Factorization
| 2 | 515, 774, 820, 779, 121 |
| 5 | 515, 387, 410, 779, 121 |
| 41 | 103, 387, 82, 779, 121 |
| 103, 387, 2, 19, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 41 x 103 x 387 x 2 x 19 x 121 = 75145159980
Therefore, the lowest common multiple of 515,774,820,779,121 is 75145159980.
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.
515 x 774 x 820 x 779 x 121 = 30809515591800
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.
515 : 1, 5, 103, 515
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
779 : 1, 19, 41, 779
121 : 1, 11, 121
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,774,820,779,121, is 1.
Now, the common factors can be found like this.
515:5x 103
774:2x 3x 3x 43
820:2x 2x 5x 41
779:19x 41
121:11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 41 = 410
Therefore, the value for common factors is 410.
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 = 30809515591800/(1x410)
LCM = 30809515591800/410
LCM = 75145159980
Thus, we can understand that the LCM of 515,774,820,779,121 is 75145159980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 515, 774, 820, 779, 121
1. What is the LCM of 515, 774, 820, 779, 121?
Answer: LCM of 515, 774, 820, 779, 121 is 75145159980.
2. How to calculate the LCM of 515, 774, 820, 779, 121?
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 515, 774, 820, 779, 121.
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}.