LCM of 610, 558, 667, 561, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 610, 558, 667, 561, 966 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 610, 558, 667, 561, 966. So, keep reading to learn more.
Given numbers are 610,558,667,561,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 610,558,667,561,966 is 148593399570.
Find LCM of 610,558,667,561,966 with Prime Factorization
| 2 | 610, 558, 667, 561, 966 |
| 3 | 305, 279, 667, 561, 483 |
| 23 | 305, 93, 667, 187, 161 |
| 305, 93, 29, 187, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 305 x 93 x 29 x 187 x 7 = 148593399570
Therefore, the lowest common multiple of 610,558,667,561,966 is 148593399570.
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.
610 x 558 x 667 x 561 x 966 = 123035334843960
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.
610 : 1, 2, 5, 10, 61, 122, 305, 610
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
667 : 1, 23, 29, 667
561 : 1, 3, 11, 17, 33, 51, 187, 561
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,558,667,561,966, is 1.
Now, the common factors can be found like this.
610:2x 5x 61
558:2x 3x 3x 31
667:23x 29
561:3x 11x 17
966:2x 3x 7x 23
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 3x 23 = 828
Therefore, the value for common factors is 828.
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 = 123035334843960/(1x828)
LCM = 123035334843960/828
LCM = 148593399570
Thus, we can understand that the LCM of 610,558,667,561,966 is 148593399570.
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FAQs on LCM of 610, 558, 667, 561, 966
1. What is the LCM of 610, 558, 667, 561, 966?
Answer: LCM of 610, 558, 667, 561, 966 is 148593399570.
2. How to calculate the LCM of 610, 558, 667, 561, 966?
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 610, 558, 667, 561, 966.
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}.