LCM of 621, 580, 746, 612, 841
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 621, 580, 746, 612, 841 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 621, 580, 746, 612, 841. So, keep reading to learn more.
Given numbers are 621,580,746,612,841
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 621,580,746,612,841 is 66233140020.
Find LCM of 621,580,746,612,841 with Prime Factorization
| 2 | 621, 580, 746, 612, 841 |
| 2 | 621, 290, 373, 306, 841 |
| 3 | 621, 145, 373, 153, 841 |
| 3 | 207, 145, 373, 51, 841 |
| 29 | 69, 145, 373, 17, 841 |
| 69, 5, 373, 17, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 29 x 69 x 5 x 373 x 17 x 29 = 66233140020
Therefore, the lowest common multiple of 621,580,746,612,841 is 66233140020.
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.
621 x 580 x 746 x 612 x 841 = 138294796361760
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.
621 : 1, 3, 9, 23, 27, 69, 207, 621
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
746 : 1, 2, 373, 746
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
841 : 1, 29, 841
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 621,580,746,612,841, is 1.
Now, the common factors can be found like this.
621:3x 3x 3x 23
580:2x 2x 5x 29
746:2x 373
612:2x 2x 3x 3x 17
841:29x 29
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 2x 3x 3x 29 = 2088
Therefore, the value for common factors is 2088.
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 = 138294796361760/(1x2088)
LCM = 138294796361760/2088
LCM = 66233140020
Thus, we can understand that the LCM of 621,580,746,612,841 is 66233140020.
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FAQs on LCM of 621, 580, 746, 612, 841
1. What is the LCM of 621, 580, 746, 612, 841?
Answer: LCM of 621, 580, 746, 612, 841 is 66233140020.
2. How to calculate the LCM of 621, 580, 746, 612, 841?
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 621, 580, 746, 612, 841.
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}.