LCM of 960, 637, 734, 935, 130
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 960, 637, 734, 935, 130 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 960, 637, 734, 935, 130. So, keep reading to learn more.
Given numbers are 960,637,734,935,130
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 960,637,734,935,130 is 41968006080.
Find LCM of 960,637,734,935,130 with Prime Factorization
| 2 | 960, 637, 734, 935, 130 |
| 5 | 480, 637, 367, 935, 65 |
| 13 | 96, 637, 367, 187, 13 |
| 96, 49, 367, 187, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 96 x 49 x 367 x 187 x 1 = 41968006080
Therefore, the lowest common multiple of 960,637,734,935,130 is 41968006080.
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.
960 x 637 x 734 x 935 x 130 = 54558407904000
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.
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
637 : 1, 7, 13, 49, 91, 637
734 : 1, 2, 367, 734
935 : 1, 5, 11, 17, 55, 85, 187, 935
130 : 1, 2, 5, 10, 13, 26, 65, 130
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,637,734,935,130, is 1.
Now, the common factors can be found like this.
960:2x 2x 2x 2x 2x 2x 3x 5
637:7x 7x 13
734:2x 367
935:5x 11x 17
130:2x 5x 13
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 5x 5x 13 = 1300
Therefore, the value for common factors is 1300.
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 = 54558407904000/(1x1300)
LCM = 54558407904000/1300
LCM = 41968006080
Thus, we can understand that the LCM of 960,637,734,935,130 is 41968006080.
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FAQs on LCM of 960, 637, 734, 935, 130
1. What is the LCM of 960, 637, 734, 935, 130?
Answer: LCM of 960, 637, 734, 935, 130 is 41968006080.
2. How to calculate the LCM of 960, 637, 734, 935, 130?
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 960, 637, 734, 935, 130.
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}.