LCM of 953, 858, 208, 378, 649
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 953, 858, 208, 378, 649 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 953, 858, 208, 378, 649. So, keep reading to learn more.
Given numbers are 953,858,208,378,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 953,858,208,378,649 is 24314354064.
Find LCM of 953,858,208,378,649 with Prime Factorization
| 2 | 953, 858, 208, 378, 649 |
| 3 | 953, 429, 104, 189, 649 |
| 11 | 953, 143, 104, 63, 649 |
| 13 | 953, 13, 104, 63, 59 |
| 953, 1, 8, 63, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 953 x 1 x 8 x 63 x 59 = 24314354064
Therefore, the lowest common multiple of 953,858,208,378,649 is 24314354064.
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.
953 x 858 x 208 x 378 x 649 = 41723431573824
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.
953 : 1, 953
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 953,858,208,378,649, is 1.
Now, the common factors can be found like this.
953:953
858:2x 3x 11x 13
208:2x 2x 2x 2x 13
378:2x 3x 3x 3x 7
649:11x 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 2x 3x 11x 13 = 1716
Therefore, the value for common factors is 1716.
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 = 41723431573824/(1x1716)
LCM = 41723431573824/1716
LCM = 24314354064
Thus, we can understand that the LCM of 953,858,208,378,649 is 24314354064.
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FAQs on LCM of 953, 858, 208, 378, 649
1. What is the LCM of 953, 858, 208, 378, 649?
Answer: LCM of 953, 858, 208, 378, 649 is 24314354064.
2. How to calculate the LCM of 953, 858, 208, 378, 649?
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 953, 858, 208, 378, 649.
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}.