LCM of 686, 905, 921, 950, 555
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 686, 905, 921, 950, 555 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 686, 905, 921, 950, 555. So, keep reading to learn more.
Given numbers are 686,905,921,950,555
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 686,905,921,950,555 is 2009822271450.
Find LCM of 686,905,921,950,555 with Prime Factorization
| 2 | 686, 905, 921, 950, 555 |
| 3 | 343, 905, 921, 475, 555 |
| 5 | 343, 905, 307, 475, 185 |
| 343, 181, 307, 95, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 343 x 181 x 307 x 95 x 37 = 2009822271450
Therefore, the lowest common multiple of 686,905,921,950,555 is 2009822271450.
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.
686 x 905 x 921 x 950 x 555 = 301473340717500
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.
686 : 1, 2, 7, 14, 49, 98, 343, 686
905 : 1, 5, 181, 905
921 : 1, 3, 307, 921
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
555 : 1, 3, 5, 15, 37, 111, 185, 555
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,905,921,950,555, is 1.
Now, the common factors can be found like this.
686:2x 7x 7x 7
905:5x 181
921:3x 307
950:2x 5x 5x 19
555:3x 5x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5 = 150
Therefore, the value for common factors is 150.
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 = 301473340717500/(1x150)
LCM = 301473340717500/150
LCM = 2009822271450
Thus, we can understand that the LCM of 686,905,921,950,555 is 2009822271450.
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FAQs on LCM of 686, 905, 921, 950, 555
1. What is the LCM of 686, 905, 921, 950, 555?
Answer: LCM of 686, 905, 921, 950, 555 is 2009822271450.
2. How to calculate the LCM of 686, 905, 921, 950, 555?
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 686, 905, 921, 950, 555.
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}.