LCM of 914, 360, 465, 914
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 360, 465, 914 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 914, 360, 465, 914. So, keep reading to learn more.
Given numbers are 914,360,465,914
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,360,465,914 is 5100120.
Find LCM of 914,360,465,914 with Prime Factorization
| 2 | 914, 360, 465, 914 |
| 3 | 457, 180, 465, 457 |
| 5 | 457, 60, 155, 457 |
| 457 | 457, 12, 31, 457 |
| 1, 12, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 457 x 1 x 12 x 31 x 1 = 5100120
Therefore, the lowest common multiple of 914,360,465,914 is 5100120.
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.
914 x 360 x 465 x 914 = 139845290400
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.
914 : 1, 2, 457, 914
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
465 : 1, 3, 5, 15, 31, 93, 155, 465
914 : 1, 2, 457, 914
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,360,465,914, is 1.
Now, the common factors can be found like this.
914:2x 457
360:2x 2x 2x 3x 3x 5
465:3x 5x 31
914:2x 457
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 5x 457 = 27420
Therefore, the value for common factors is 27420.
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 = 139845290400/(1x27420)
LCM = 139845290400/27420
LCM = 5100120
Thus, we can understand that the LCM of 914,360,465,914 is 5100120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 914, 360, 465, 914
1. What is the LCM of 914, 360, 465, 914?
Answer: LCM of 914, 360, 465, 914 is 5100120.
2. How to calculate the LCM of 914, 360, 465, 914?
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 914, 360, 465, 914.
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}.