LCM of 958, 777, 717, 752, 672
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 958, 777, 717, 752, 672 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 958, 777, 717, 752, 672. So, keep reading to learn more.
Given numbers are 958,777,717,752,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 958,777,717,752,672 is 133783412448.
Find LCM of 958,777,717,752,672 with Prime Factorization
| 2 | 958, 777, 717, 752, 672 |
| 2 | 479, 777, 717, 376, 336 |
| 2 | 479, 777, 717, 188, 168 |
| 2 | 479, 777, 717, 94, 84 |
| 3 | 479, 777, 717, 47, 42 |
| 7 | 479, 259, 239, 47, 14 |
| 479, 37, 239, 47, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 479 x 37 x 239 x 47 x 2 = 133783412448
Therefore, the lowest common multiple of 958,777,717,752,672 is 133783412448.
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.
958 x 777 x 717 x 752 x 672 = 269707359495168
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.
958 : 1, 2, 479, 958
777 : 1, 3, 7, 21, 37, 111, 259, 777
717 : 1, 3, 239, 717
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,777,717,752,672, is 1.
Now, the common factors can be found like this.
958:2x 479
777:3x 7x 37
717:3x 239
752:2x 2x 2x 2x 47
672:2x 2x 2x 2x 2x 3x 7
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 2x 2x 2x 3x 3x 7 = 2016
Therefore, the value for common factors is 2016.
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 = 269707359495168/(1x2016)
LCM = 269707359495168/2016
LCM = 133783412448
Thus, we can understand that the LCM of 958,777,717,752,672 is 133783412448.
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FAQs on LCM of 958, 777, 717, 752, 672
1. What is the LCM of 958, 777, 717, 752, 672?
Answer: LCM of 958, 777, 717, 752, 672 is 133783412448.
2. How to calculate the LCM of 958, 777, 717, 752, 672?
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 958, 777, 717, 752, 672.
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}.