LCM of 985, 818, 686, 714, 641
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 985, 818, 686, 714, 641 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, 818, 686, 714, 641. So, keep reading to learn more.
Given numbers are 985,818,686,714,641
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 985,818,686,714,641 is 9034660964490.
Find LCM of 985,818,686,714,641 with Prime Factorization
| 2 | 985, 818, 686, 714, 641 |
| 7 | 985, 409, 343, 357, 641 |
| 985, 409, 49, 51, 641 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 985 x 409 x 49 x 51 x 641 = 9034660964490
Therefore, the lowest common multiple of 985,818,686,714,641 is 9034660964490.
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 818 x 686 x 714 x 641 = 252970507005720
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
818 : 1, 2, 409, 818
686 : 1, 2, 7, 14, 49, 98, 343, 686
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
641 : 1, 641
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,818,686,714,641, is 1.
Now, the common factors can be found like this.
985:5x 197
818:2x 409
686:2x 7x 7x 7
714:2x 3x 7x 17
641:641
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 7 = 28
Therefore, the value for common factors is 28.
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 = 252970507005720/(1x28)
LCM = 252970507005720/28
LCM = 9034660964490
Thus, we can understand that the LCM of 985,818,686,714,641 is 9034660964490.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 985, 818, 686, 714, 641
1. What is the LCM of 985, 818, 686, 714, 641?
Answer: LCM of 985, 818, 686, 714, 641 is 9034660964490.
2. How to calculate the LCM of 985, 818, 686, 714, 641?
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, 818, 686, 714, 641.
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}.