LCM of 917, 359, 569, 147, 383
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 917, 359, 569, 147, 383 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, 359, 569, 147, 383. So, keep reading to learn more.
Given numbers are 917,359,569,147,383
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,359,569,147,383 is 1506586665801.
Find LCM of 917,359,569,147,383 with Prime Factorization
| 7 | 917, 359, 569, 147, 383 |
| 131, 359, 569, 21, 383 |
Multiply the prime numbers at the bottom and the left side.
7 x 131 x 359 x 569 x 21 x 383 = 1506586665801
Therefore, the lowest common multiple of 917,359,569,147,383 is 1506586665801.
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 359 x 569 x 147 x 383 = 10546106660607
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
359 : 1, 359
569 : 1, 569
147 : 1, 3, 7, 21, 49, 147
383 : 1, 383
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,359,569,147,383, is 1.
Now, the common factors can be found like this.
917:7x 131
359:359
569:569
147:3x 7x 7
383:383
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7 = 7
Therefore, the value for common factors is 7.
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 = 10546106660607/(1x7)
LCM = 10546106660607/7
LCM = 1506586665801
Thus, we can understand that the LCM of 917,359,569,147,383 is 1506586665801.
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FAQs on LCM of 917, 359, 569, 147, 383
1. What is the LCM of 917, 359, 569, 147, 383?
Answer: LCM of 917, 359, 569, 147, 383 is 1506586665801.
2. How to calculate the LCM of 917, 359, 569, 147, 383?
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, 359, 569, 147, 383.
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}.