LCM of 597, 917, 401, 822, 708
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 597, 917, 401, 822, 708 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 597, 917, 401, 822, 708. So, keep reading to learn more.
Given numbers are 597,917,401,822,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 597,917,401,822,708 is 7097748548268.
Find LCM of 597,917,401,822,708 with Prime Factorization
| 2 | 597, 917, 401, 822, 708 |
| 3 | 597, 917, 401, 411, 354 |
| 199, 917, 401, 137, 118 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 199 x 917 x 401 x 137 x 118 = 7097748548268
Therefore, the lowest common multiple of 597,917,401,822,708 is 7097748548268.
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.
597 x 917 x 401 x 822 x 708 = 127759473868824
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.
597 : 1, 3, 199, 597
917 : 1, 7, 131, 917
401 : 1, 401
822 : 1, 2, 3, 6, 137, 274, 411, 822
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,917,401,822,708, is 1.
Now, the common factors can be found like this.
597:3x 199
917:7x 131
401:401
822:2x 3x 137
708:2x 2x 3x 59
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 3 = 18
Therefore, the value for common factors is 18.
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 = 127759473868824/(1x18)
LCM = 127759473868824/18
LCM = 7097748548268
Thus, we can understand that the LCM of 597,917,401,822,708 is 7097748548268.
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FAQs on LCM of 597, 917, 401, 822, 708
1. What is the LCM of 597, 917, 401, 822, 708?
Answer: LCM of 597, 917, 401, 822, 708 is 7097748548268.
2. How to calculate the LCM of 597, 917, 401, 822, 708?
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 597, 917, 401, 822, 708.
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}.