LCM of 917, 397, 322, 245
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 917, 397, 322, 245 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, 397, 322, 245. So, keep reading to learn more.
Given numbers are 917,397,322,245
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,397,322,245 is 586118890.
Find LCM of 917,397,322,245 with Prime Factorization
| 7 | 917, 397, 322, 245 |
| 131, 397, 46, 35 |
Multiply the prime numbers at the bottom and the left side.
7 x 131 x 397 x 46 x 35 = 586118890
Therefore, the lowest common multiple of 917,397,322,245 is 586118890.
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 397 x 322 x 245 = 28719825610
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
397 : 1, 397
322 : 1, 2, 7, 14, 23, 46, 161, 322
245 : 1, 5, 7, 35, 49, 245
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,397,322,245, is 1.
Now, the common factors can be found like this.
917:7x 131
397:397
322:2x 7x 23
245:5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7 = 49
Therefore, the value for common factors is 49.
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 = 28719825610/(1x49)
LCM = 28719825610/49
LCM = 586118890
Thus, we can understand that the LCM of 917,397,322,245 is 586118890.
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FAQs on LCM of 917, 397, 322, 245
1. What is the LCM of 917, 397, 322, 245?
Answer: LCM of 917, 397, 322, 245 is 586118890.
2. How to calculate the LCM of 917, 397, 322, 245?
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, 397, 322, 245.
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}.