LCM of 706, 828, 855, 345, 916
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 706, 828, 855, 345, 916 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 706, 828, 855, 345, 916. So, keep reading to learn more.
Given numbers are 706,828,855,345,916
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,828,855,345,916 is 6358638420.
Find LCM of 706,828,855,345,916 with Prime Factorization
| 2 | 706, 828, 855, 345, 916 |
| 2 | 353, 414, 855, 345, 458 |
| 3 | 353, 207, 855, 345, 229 |
| 3 | 353, 69, 285, 115, 229 |
| 5 | 353, 23, 95, 115, 229 |
| 23 | 353, 23, 19, 23, 229 |
| 353, 1, 19, 1, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 23 x 353 x 1 x 19 x 1 x 229 = 6358638420
Therefore, the lowest common multiple of 706,828,855,345,916 is 6358638420.
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.
706 x 828 x 855 x 345 x 916 = 157948578352800
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.
706 : 1, 2, 353, 706
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
345 : 1, 3, 5, 15, 23, 69, 115, 345
916 : 1, 2, 4, 229, 458, 916
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,828,855,345,916, is 1.
Now, the common factors can be found like this.
706:2x 353
828:2x 2x 3x 3x 23
855:3x 3x 5x 19
345:3x 5x 23
916:2x 2x 229
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 2x 3x 3x 3x 5x 23 = 24840
Therefore, the value for common factors is 24840.
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 = 157948578352800/(1x24840)
LCM = 157948578352800/24840
LCM = 6358638420
Thus, we can understand that the LCM of 706,828,855,345,916 is 6358638420.
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FAQs on LCM of 706, 828, 855, 345, 916
1. What is the LCM of 706, 828, 855, 345, 916?
Answer: LCM of 706, 828, 855, 345, 916 is 6358638420.
2. How to calculate the LCM of 706, 828, 855, 345, 916?
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 706, 828, 855, 345, 916.
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}.