LCM of 689, 906, 742, 949, 998
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 906, 742, 949, 998 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 689, 906, 742, 949, 998. So, keep reading to learn more.
Given numbers are 689,906,742,949,998
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,906,742,949,998 is 159172803426.
Find LCM of 689,906,742,949,998 with Prime Factorization
| 2 | 689, 906, 742, 949, 998 |
| 13 | 689, 453, 371, 949, 499 |
| 53 | 53, 453, 371, 73, 499 |
| 1, 453, 7, 73, 499 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 53 x 1 x 453 x 7 x 73 x 499 = 159172803426
Therefore, the lowest common multiple of 689,906,742,949,998 is 159172803426.
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.
689 x 906 x 742 x 949 x 998 = 438680246242056
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.
689 : 1, 13, 53, 689
906 : 1, 2, 3, 6, 151, 302, 453, 906
742 : 1, 2, 7, 14, 53, 106, 371, 742
949 : 1, 13, 73, 949
998 : 1, 2, 499, 998
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,906,742,949,998, is 1.
Now, the common factors can be found like this.
689:13x 53
906:2x 3x 151
742:2x 7x 53
949:13x 73
998:2x 499
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 13x 53 = 2756
Therefore, the value for common factors is 2756.
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 = 438680246242056/(1x2756)
LCM = 438680246242056/2756
LCM = 159172803426
Thus, we can understand that the LCM of 689,906,742,949,998 is 159172803426.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 689, 906, 742, 949, 998
1. What is the LCM of 689, 906, 742, 949, 998?
Answer: LCM of 689, 906, 742, 949, 998 is 159172803426.
2. How to calculate the LCM of 689, 906, 742, 949, 998?
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 689, 906, 742, 949, 998.
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}.