LCM of 122, 818, 409, 583, 131
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 122, 818, 409, 583, 131 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 122, 818, 409, 583, 131. So, keep reading to learn more.
Given numbers are 122,818,409,583,131
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 122,818,409,583,131 is 3810859954.
Find LCM of 122,818,409,583,131 with Prime Factorization
| 2 | 122, 818, 409, 583, 131 |
| 409 | 61, 409, 409, 583, 131 |
| 61, 1, 1, 583, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 409 x 61 x 1 x 1 x 583 x 131 = 3810859954
Therefore, the lowest common multiple of 122,818,409,583,131 is 3810859954.
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.
122 x 818 x 409 x 583 x 131 = 3117283442372
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.
122 : 1, 2, 61, 122
818 : 1, 2, 409, 818
409 : 1, 409
583 : 1, 11, 53, 583
131 : 1, 131
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,818,409,583,131, is 1.
Now, the common factors can be found like this.
122:2x 61
818:2x 409
409:409
583:11x 53
131:131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 409 = 818
Therefore, the value for common factors is 818.
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 = 3117283442372/(1x818)
LCM = 3117283442372/818
LCM = 3810859954
Thus, we can understand that the LCM of 122,818,409,583,131 is 3810859954.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 122, 818, 409, 583, 131
1. What is the LCM of 122, 818, 409, 583, 131?
Answer: LCM of 122, 818, 409, 583, 131 is 3810859954.
2. How to calculate the LCM of 122, 818, 409, 583, 131?
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 122, 818, 409, 583, 131.
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}.