LCM of 317, 990, 495, 673, 951
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 317, 990, 495, 673, 951 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 317, 990, 495, 673, 951. So, keep reading to learn more.
Given numbers are 317,990,495,673,951
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,990,495,673,951 is 211207590.
Find LCM of 317,990,495,673,951 with Prime Factorization
| 3 | 317, 990, 495, 673, 951 |
| 3 | 317, 330, 165, 673, 317 |
| 5 | 317, 110, 55, 673, 317 |
| 11 | 317, 22, 11, 673, 317 |
| 317 | 317, 2, 1, 673, 317 |
| 1, 2, 1, 673, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 11 x 317 x 1 x 2 x 1 x 673 x 1 = 211207590
Therefore, the lowest common multiple of 317,990,495,673,951 is 211207590.
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.
317 x 990 x 495 x 673 x 951 = 99424916954550
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.
317 : 1, 317
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
673 : 1, 673
951 : 1, 3, 317, 951
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,990,495,673,951, is 1.
Now, the common factors can be found like this.
317:317
990:2x 3x 3x 5x 11
495:3x 3x 5x 11
673:673
951:3x 317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 11x 317 = 470745
Therefore, the value for common factors is 470745.
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 = 99424916954550/(1x470745)
LCM = 99424916954550/470745
LCM = 211207590
Thus, we can understand that the LCM of 317,990,495,673,951 is 211207590.
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FAQs on LCM of 317, 990, 495, 673, 951
1. What is the LCM of 317, 990, 495, 673, 951?
Answer: LCM of 317, 990, 495, 673, 951 is 211207590.
2. How to calculate the LCM of 317, 990, 495, 673, 951?
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 317, 990, 495, 673, 951.
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}.