LCM of 917, 639, 938, 391, 777
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 917, 639, 938, 391, 777 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 917, 639, 938, 391, 777. So, keep reading to learn more.
Given numbers are 917,639,938,391,777
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,639,938,391,777 is 1135934980614.
Find LCM of 917,639,938,391,777 with Prime Factorization
| 3 | 917, 639, 938, 391, 777 |
| 7 | 917, 213, 938, 391, 259 |
| 131, 213, 134, 391, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 131 x 213 x 134 x 391 x 37 = 1135934980614
Therefore, the lowest common multiple of 917,639,938,391,777 is 1135934980614.
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.
917 x 639 x 938 x 391 x 777 = 166982442150258
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.
917 : 1, 7, 131, 917
639 : 1, 3, 9, 71, 213, 639
938 : 1, 2, 7, 14, 67, 134, 469, 938
391 : 1, 17, 23, 391
777 : 1, 3, 7, 21, 37, 111, 259, 777
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,639,938,391,777, is 1.
Now, the common factors can be found like this.
917:7x 131
639:3x 3x 71
938:2x 7x 67
391:17x 23
777:3x 7x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7 = 147
Therefore, the value for common factors is 147.
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 = 166982442150258/(1x147)
LCM = 166982442150258/147
LCM = 1135934980614
Thus, we can understand that the LCM of 917,639,938,391,777 is 1135934980614.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 917, 639, 938, 391, 777
1. What is the LCM of 917, 639, 938, 391, 777?
Answer: LCM of 917, 639, 938, 391, 777 is 1135934980614.
2. How to calculate the LCM of 917, 639, 938, 391, 777?
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 917, 639, 938, 391, 777.
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}.