LCM of 917, 690, 138, 393, 424
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 917, 690, 138, 393, 424 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, 690, 138, 393, 424. So, keep reading to learn more.
Given numbers are 917,690,138,393,424
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,690,138,393,424 is 134138760.
Find LCM of 917,690,138,393,424 with Prime Factorization
| 2 | 917, 690, 138, 393, 424 |
| 3 | 917, 345, 69, 393, 212 |
| 23 | 917, 115, 23, 131, 212 |
| 131 | 917, 5, 1, 131, 212 |
| 7, 5, 1, 1, 212 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 131 x 7 x 5 x 1 x 1 x 212 = 134138760
Therefore, the lowest common multiple of 917,690,138,393,424 is 134138760.
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 690 x 138 x 393 x 424 = 14549763019680
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
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
138 : 1, 2, 3, 6, 23, 46, 69, 138
393 : 1, 3, 131, 393
424 : 1, 2, 4, 8, 53, 106, 212, 424
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,690,138,393,424, is 1.
Now, the common factors can be found like this.
917:7x 131
690:2x 3x 5x 23
138:2x 3x 23
393:3x 131
424:2x 2x 2x 53
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 3x 3x 23x 131 = 108468
Therefore, the value for common factors is 108468.
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 = 14549763019680/(1x108468)
LCM = 14549763019680/108468
LCM = 134138760
Thus, we can understand that the LCM of 917,690,138,393,424 is 134138760.
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FAQs on LCM of 917, 690, 138, 393, 424
1. What is the LCM of 917, 690, 138, 393, 424?
Answer: LCM of 917, 690, 138, 393, 424 is 134138760.
2. How to calculate the LCM of 917, 690, 138, 393, 424?
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, 690, 138, 393, 424.
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}.