LCM of 964, 920, 856, 344, 757
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 920, 856, 344, 757 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 964, 920, 856, 344, 757. So, keep reading to learn more.
Given numbers are 964,920,856,344,757
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,920,856,344,757 is 772241226040.
Find LCM of 964,920,856,344,757 with Prime Factorization
| 2 | 964, 920, 856, 344, 757 |
| 2 | 482, 460, 428, 172, 757 |
| 2 | 241, 230, 214, 86, 757 |
| 241, 115, 107, 43, 757 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 241 x 115 x 107 x 43 x 757 = 772241226040
Therefore, the lowest common multiple of 964,920,856,344,757 is 772241226040.
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.
964 x 920 x 856 x 344 x 757 = 197693753866240
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.
964 : 1, 2, 4, 241, 482, 964
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
856 : 1, 2, 4, 8, 107, 214, 428, 856
344 : 1, 2, 4, 8, 43, 86, 172, 344
757 : 1, 757
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,920,856,344,757, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
920:2x 2x 2x 5x 23
856:2x 2x 2x 107
344:2x 2x 2x 43
757:757
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 2x 2x 2 = 256
Therefore, the value for common factors is 256.
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 = 197693753866240/(1x256)
LCM = 197693753866240/256
LCM = 772241226040
Thus, we can understand that the LCM of 964,920,856,344,757 is 772241226040.
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FAQs on LCM of 964, 920, 856, 344, 757
1. What is the LCM of 964, 920, 856, 344, 757?
Answer: LCM of 964, 920, 856, 344, 757 is 772241226040.
2. How to calculate the LCM of 964, 920, 856, 344, 757?
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 964, 920, 856, 344, 757.
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}.