LCM of 689, 834, 278, 702, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 834, 278, 702, 909 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, 834, 278, 702, 909. So, keep reading to learn more.
Given numbers are 689,834,278,702,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,834,278,702,909 is 522335034.
Find LCM of 689,834,278,702,909 with Prime Factorization
| 2 | 689, 834, 278, 702, 909 |
| 3 | 689, 417, 139, 351, 909 |
| 3 | 689, 139, 139, 117, 303 |
| 13 | 689, 139, 139, 39, 101 |
| 139 | 53, 139, 139, 3, 101 |
| 53, 1, 1, 3, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 139 x 53 x 1 x 1 x 3 x 101 = 522335034
Therefore, the lowest common multiple of 689,834,278,702,909 is 522335034.
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 834 x 278 x 702 x 909 = 101936815895304
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
834 : 1, 2, 3, 6, 139, 278, 417, 834
278 : 1, 2, 139, 278
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,834,278,702,909, is 1.
Now, the common factors can be found like this.
689:13x 53
834:2x 3x 139
278:2x 139
702:2x 3x 3x 3x 13
909:3x 3x 101
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 3x 13x 139 = 195156
Therefore, the value for common factors is 195156.
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 = 101936815895304/(1x195156)
LCM = 101936815895304/195156
LCM = 522335034
Thus, we can understand that the LCM of 689,834,278,702,909 is 522335034.
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FAQs on LCM of 689, 834, 278, 702, 909
1. What is the LCM of 689, 834, 278, 702, 909?
Answer: LCM of 689, 834, 278, 702, 909 is 522335034.
2. How to calculate the LCM of 689, 834, 278, 702, 909?
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, 834, 278, 702, 909.
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}.