LCM of 627, 612, 605, 748, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 612, 605, 748, 646 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 627, 612, 605, 748, 646. So, keep reading to learn more.
Given numbers are 627,612,605,748,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,612,605,748,646 is 7034940.
Find LCM of 627,612,605,748,646 with Prime Factorization
| 2 | 627, 612, 605, 748, 646 |
| 2 | 627, 306, 605, 374, 323 |
| 3 | 627, 153, 605, 187, 323 |
| 11 | 209, 51, 605, 187, 323 |
| 17 | 19, 51, 55, 17, 323 |
| 19 | 19, 3, 55, 1, 19 |
| 1, 3, 55, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 19 x 1 x 3 x 55 x 1 x 1 = 7034940
Therefore, the lowest common multiple of 627,612,605,748,646 is 7034940.
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.
627 x 612 x 605 x 748 x 646 = 112178196488160
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
605 : 1, 5, 11, 55, 121, 605
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,612,605,748,646, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
612:2x 2x 3x 3x 17
605:5x 11x 11
748:2x 2x 11x 17
646:2x 17x 19
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 11x 11x 17x 17x 19 = 15945864
Therefore, the value for common factors is 15945864.
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 = 112178196488160/(1x15945864)
LCM = 112178196488160/15945864
LCM = 7034940
Thus, we can understand that the LCM of 627,612,605,748,646 is 7034940.
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FAQs on LCM of 627, 612, 605, 748, 646
1. What is the LCM of 627, 612, 605, 748, 646?
Answer: LCM of 627, 612, 605, 748, 646 is 7034940.
2. How to calculate the LCM of 627, 612, 605, 748, 646?
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 627, 612, 605, 748, 646.
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}.