LCM of 985, 786, 627, 726, 634
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 985, 786, 627, 726, 634 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 985, 786, 627, 726, 634. So, keep reading to learn more.
Given numbers are 985,786,627,726,634
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 985,786,627,726,634 is 564231086430.
Find LCM of 985,786,627,726,634 with Prime Factorization
| 2 | 985, 786, 627, 726, 634 |
| 3 | 985, 393, 627, 363, 317 |
| 11 | 985, 131, 209, 121, 317 |
| 985, 131, 19, 11, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 985 x 131 x 19 x 11 x 317 = 564231086430
Therefore, the lowest common multiple of 985,786,627,726,634 is 564231086430.
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.
985 x 786 x 627 x 726 x 634 = 223435510226280
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.
985 : 1, 5, 197, 985
786 : 1, 2, 3, 6, 131, 262, 393, 786
627 : 1, 3, 11, 19, 33, 57, 209, 627
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
634 : 1, 2, 317, 634
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,786,627,726,634, is 1.
Now, the common factors can be found like this.
985:5x 197
786:2x 3x 131
627:3x 11x 19
726:2x 3x 11x 11
634:2x 317
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 11 = 396
Therefore, the value for common factors is 396.
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 = 223435510226280/(1x396)
LCM = 223435510226280/396
LCM = 564231086430
Thus, we can understand that the LCM of 985,786,627,726,634 is 564231086430.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 985, 786, 627, 726, 634
1. What is the LCM of 985, 786, 627, 726, 634?
Answer: LCM of 985, 786, 627, 726, 634 is 564231086430.
2. How to calculate the LCM of 985, 786, 627, 726, 634?
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 985, 786, 627, 726, 634.
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}.