LCM of 806, 689, 618, 169, 350
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 806, 689, 618, 169, 350 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 806, 689, 618, 169, 350. So, keep reading to learn more.
Given numbers are 806,689,618,169,350
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 806,689,618,169,350 is 30029686050.
Find LCM of 806,689,618,169,350 with Prime Factorization
| 2 | 806, 689, 618, 169, 350 |
| 13 | 403, 689, 309, 169, 175 |
| 31, 53, 309, 13, 175 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 31 x 53 x 309 x 13 x 175 = 30029686050
Therefore, the lowest common multiple of 806,689,618,169,350 is 30029686050.
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.
806 x 689 x 618 x 169 x 350 = 20300067769800
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.
806 : 1, 2, 13, 26, 31, 62, 403, 806
689 : 1, 13, 53, 689
618 : 1, 2, 3, 6, 103, 206, 309, 618
169 : 1, 13, 169
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,689,618,169,350, is 1.
Now, the common factors can be found like this.
806:2x 13x 31
689:13x 53
618:2x 3x 103
169:13x 13
350:2x 5x 5x 7
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 13 = 676
Therefore, the value for common factors is 676.
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 = 20300067769800/(1x676)
LCM = 20300067769800/676
LCM = 30029686050
Thus, we can understand that the LCM of 806,689,618,169,350 is 30029686050.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 806, 689, 618, 169, 350
1. What is the LCM of 806, 689, 618, 169, 350?
Answer: LCM of 806, 689, 618, 169, 350 is 30029686050.
2. How to calculate the LCM of 806, 689, 618, 169, 350?
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 806, 689, 618, 169, 350.
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}.