LCM of 807, 231, 742, 914, 640
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 807, 231, 742, 914, 640 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 807, 231, 742, 914, 640. So, keep reading to learn more.
Given numbers are 807,231,742,914,640
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 807,231,742,914,640 is 963243980160.
Find LCM of 807,231,742,914,640 with Prime Factorization
| 2 | 807, 231, 742, 914, 640 |
| 3 | 807, 231, 371, 457, 320 |
| 7 | 269, 77, 371, 457, 320 |
| 269, 11, 53, 457, 320 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 269 x 11 x 53 x 457 x 320 = 963243980160
Therefore, the lowest common multiple of 807,231,742,914,640 is 963243980160.
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.
807 x 231 x 742 x 914 x 640 = 80912494333440
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.
807 : 1, 3, 269, 807
231 : 1, 3, 7, 11, 21, 33, 77, 231
742 : 1, 2, 7, 14, 53, 106, 371, 742
914 : 1, 2, 457, 914
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,231,742,914,640, is 1.
Now, the common factors can be found like this.
807:3x 269
231:3x 7x 11
742:2x 7x 53
914:2x 457
640:2x 2x 2x 2x 2x 2x 2x 5
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 7 = 84
Therefore, the value for common factors is 84.
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 = 80912494333440/(1x84)
LCM = 80912494333440/84
LCM = 963243980160
Thus, we can understand that the LCM of 807,231,742,914,640 is 963243980160.
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FAQs on LCM of 807, 231, 742, 914, 640
1. What is the LCM of 807, 231, 742, 914, 640?
Answer: LCM of 807, 231, 742, 914, 640 is 963243980160.
2. How to calculate the LCM of 807, 231, 742, 914, 640?
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 807, 231, 742, 914, 640.
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}.