LCM of 627, 646, 382, 219, 610
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 646, 382, 219, 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 627, 646, 382, 219, 610. So, keep reading to learn more.
Given numbers are 627,646,382,219,610
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,646,382,219,610 is 90657246570.
Find LCM of 627,646,382,219,610 with Prime Factorization
| 2 | 627, 646, 382, 219, 610 |
| 3 | 627, 323, 191, 219, 305 |
| 19 | 209, 323, 191, 73, 305 |
| 11, 17, 191, 73, 305 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 11 x 17 x 191 x 73 x 305 = 90657246570
Therefore, the lowest common multiple of 627,646,382,219,610 is 90657246570.
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 646 x 382 x 219 x 610 = 20669852217960
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
646 : 1, 2, 17, 19, 34, 38, 323, 646
382 : 1, 2, 191, 382
219 : 1, 3, 73, 219
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 627,646,382,219,610, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
646:2x 17x 19
382:2x 191
219:3x 73
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 19 = 228
Therefore, the value for common factors is 228.
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 = 20669852217960/(1x228)
LCM = 20669852217960/228
LCM = 90657246570
Thus, we can understand that the LCM of 627,646,382,219,610 is 90657246570.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 627, 646, 382, 219, 610
1. What is the LCM of 627, 646, 382, 219, 610?
Answer: LCM of 627, 646, 382, 219, 610 is 90657246570.
2. How to calculate the LCM of 627, 646, 382, 219, 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 627, 646, 382, 219, 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}.