LCM of 278, 738, 917, 712, 976
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 738, 917, 712, 976 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 278, 738, 917, 712, 976. So, keep reading to learn more.
Given numbers are 278,738,917,712,976
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,738,917,712,976 is 4085548085808.
Find LCM of 278,738,917,712,976 with Prime Factorization
| 2 | 278, 738, 917, 712, 976 |
| 2 | 139, 369, 917, 356, 488 |
| 2 | 139, 369, 917, 178, 244 |
| 139, 369, 917, 89, 122 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 139 x 369 x 917 x 89 x 122 = 4085548085808
Therefore, the lowest common multiple of 278,738,917,712,976 is 4085548085808.
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.
278 x 738 x 917 x 712 x 976 = 130737538745856
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.
278 : 1, 2, 139, 278
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
917 : 1, 7, 131, 917
712 : 1, 2, 4, 8, 89, 178, 356, 712
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,738,917,712,976, is 1.
Now, the common factors can be found like this.
278:2x 139
738:2x 3x 3x 41
917:7x 131
712:2x 2x 2x 89
976:2x 2x 2x 2x 61
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 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 130737538745856/(1x32)
LCM = 130737538745856/32
LCM = 4085548085808
Thus, we can understand that the LCM of 278,738,917,712,976 is 4085548085808.
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FAQs on LCM of 278, 738, 917, 712, 976
1. What is the LCM of 278, 738, 917, 712, 976?
Answer: LCM of 278, 738, 917, 712, 976 is 4085548085808.
2. How to calculate the LCM of 278, 738, 917, 712, 976?
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 278, 738, 917, 712, 976.
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}.