LCM of 699, 105, 146, 855, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 105, 146, 855, 646 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 699, 105, 146, 855, 646. So, keep reading to learn more.
Given numbers are 699,105,146,855,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,105,146,855,646 is 3461161410.
Find LCM of 699,105,146,855,646 with Prime Factorization
| 2 | 699, 105, 146, 855, 646 |
| 3 | 699, 105, 73, 855, 323 |
| 5 | 233, 35, 73, 285, 323 |
| 19 | 233, 7, 73, 57, 323 |
| 233, 7, 73, 3, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 233 x 7 x 73 x 3 x 17 = 3461161410
Therefore, the lowest common multiple of 699,105,146,855,646 is 3461161410.
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.
699 x 105 x 146 x 855 x 646 = 5918586011100
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.
699 : 1, 3, 233, 699
105 : 1, 3, 5, 7, 15, 21, 35, 105
146 : 1, 2, 73, 146
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,105,146,855,646, is 1.
Now, the common factors can be found like this.
699:3x 233
105:3x 5x 7
146:2x 73
855:3x 3x 5x 19
646:2x 17x 19
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 3x 5x 19 = 1710
Therefore, the value for common factors is 1710.
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 = 5918586011100/(1x1710)
LCM = 5918586011100/1710
LCM = 3461161410
Thus, we can understand that the LCM of 699,105,146,855,646 is 3461161410.
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FAQs on LCM of 699, 105, 146, 855, 646
1. What is the LCM of 699, 105, 146, 855, 646?
Answer: LCM of 699, 105, 146, 855, 646 is 3461161410.
2. How to calculate the LCM of 699, 105, 146, 855, 646?
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 699, 105, 146, 855, 646.
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}.