LCM of 771, 917, 612, 950, 393
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 771, 917, 612, 950, 393 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 771, 917, 612, 950, 393. So, keep reading to learn more.
Given numbers are 771,917,612,950,393
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 771,917,612,950,393 is 68508978300.
Find LCM of 771,917,612,950,393 with Prime Factorization
| 2 | 771, 917, 612, 950, 393 |
| 3 | 771, 917, 306, 475, 393 |
| 131 | 257, 917, 102, 475, 131 |
| 257, 7, 102, 475, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 131 x 257 x 7 x 102 x 475 x 1 = 68508978300
Therefore, the lowest common multiple of 771,917,612,950,393 is 68508978300.
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.
771 x 917 x 612 x 950 x 393 = 161544170831400
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.
771 : 1, 3, 257, 771
917 : 1, 7, 131, 917
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
393 : 1, 3, 131, 393
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,917,612,950,393, is 1.
Now, the common factors can be found like this.
771:3x 257
917:7x 131
612:2x 2x 3x 3x 17
950:2x 5x 5x 19
393:3x 131
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 131 = 2358
Therefore, the value for common factors is 2358.
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 = 161544170831400/(1x2358)
LCM = 161544170831400/2358
LCM = 68508978300
Thus, we can understand that the LCM of 771,917,612,950,393 is 68508978300.
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FAQs on LCM of 771, 917, 612, 950, 393
1. What is the LCM of 771, 917, 612, 950, 393?
Answer: LCM of 771, 917, 612, 950, 393 is 68508978300.
2. How to calculate the LCM of 771, 917, 612, 950, 393?
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 771, 917, 612, 950, 393.
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}.