LCM of 939, 509, 893, 855, 910
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 939, 509, 893, 855, 910 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 939, 509, 893, 855, 910. So, keep reading to learn more.
Given numbers are 939,509,893,855,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,509,893,855,910 is 1165191963390.
Find LCM of 939,509,893,855,910 with Prime Factorization
| 3 | 939, 509, 893, 855, 910 |
| 5 | 313, 509, 893, 285, 910 |
| 19 | 313, 509, 893, 57, 182 |
| 313, 509, 47, 3, 182 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 19 x 313 x 509 x 47 x 3 x 182 = 1165191963390
Therefore, the lowest common multiple of 939,509,893,855,910 is 1165191963390.
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.
939 x 509 x 893 x 855 x 910 = 332079709566150
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.
939 : 1, 3, 313, 939
509 : 1, 509
893 : 1, 19, 47, 893
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,509,893,855,910, is 1.
Now, the common factors can be found like this.
939:3x 313
509:509
893:19x 47
855:3x 3x 5x 19
910:2x 5x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 19 = 285
Therefore, the value for common factors is 285.
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 = 332079709566150/(1x285)
LCM = 332079709566150/285
LCM = 1165191963390
Thus, we can understand that the LCM of 939,509,893,855,910 is 1165191963390.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 939, 509, 893, 855, 910
1. What is the LCM of 939, 509, 893, 855, 910?
Answer: LCM of 939, 509, 893, 855, 910 is 1165191963390.
2. How to calculate the LCM of 939, 509, 893, 855, 910?
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 939, 509, 893, 855, 910.
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}.