LCM of 122, 807, 817, 282, 610
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 122, 807, 817, 282, 610 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, 807, 817, 282, 610. So, keep reading to learn more.
Given numbers are 122,807,817,282,610
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 122,807,817,282,610 is 18902675730.
Find LCM of 122,807,817,282,610 with Prime Factorization
| 2 | 122, 807, 817, 282, 610 |
| 3 | 61, 807, 817, 141, 305 |
| 61 | 61, 269, 817, 47, 305 |
| 1, 269, 817, 47, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 61 x 1 x 269 x 817 x 47 x 5 = 18902675730
Therefore, the lowest common multiple of 122,807,817,282,610 is 18902675730.
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 807 x 817 x 282 x 610 = 13836758634360
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
807 : 1, 3, 269, 807
817 : 1, 19, 43, 817
282 : 1, 2, 3, 6, 47, 94, 141, 282
610 : 1, 2, 5, 10, 61, 122, 305, 610
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,807,817,282,610, is 1.
Now, the common factors can be found like this.
122:2x 61
807:3x 269
817:19x 43
282:2x 3x 47
610:2x 5x 61
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 61 = 732
Therefore, the value for common factors is 732.
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 = 13836758634360/(1x732)
LCM = 13836758634360/732
LCM = 18902675730
Thus, we can understand that the LCM of 122,807,817,282,610 is 18902675730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 122, 807, 817, 282, 610
1. What is the LCM of 122, 807, 817, 282, 610?
Answer: LCM of 122, 807, 817, 282, 610 is 18902675730.
2. How to calculate the LCM of 122, 807, 817, 282, 610?
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, 807, 817, 282, 610.
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}.