LCM of 914, 990, 693, 974, 310
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 990, 693, 974, 310 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, 990, 693, 974, 310. So, keep reading to learn more.
Given numbers are 914,990,693,974,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,990,693,974,310 is 47812349970.
Find LCM of 914,990,693,974,310 with Prime Factorization
| 2 | 914, 990, 693, 974, 310 |
| 3 | 457, 495, 693, 487, 155 |
| 3 | 457, 165, 231, 487, 155 |
| 5 | 457, 55, 77, 487, 155 |
| 11 | 457, 11, 77, 487, 31 |
| 457, 1, 7, 487, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 457 x 1 x 7 x 487 x 31 = 47812349970
Therefore, the lowest common multiple of 914,990,693,974,310 is 47812349970.
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 990 x 693 x 974 x 310 = 189336905881200
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
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
974 : 1, 2, 487, 974
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,990,693,974,310, is 1.
Now, the common factors can be found like this.
914:2x 457
990:2x 3x 3x 5x 11
693:3x 3x 7x 11
974:2x 487
310:2x 5x 31
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 3x 3x 5x 11 = 3960
Therefore, the value for common factors is 3960.
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 = 189336905881200/(1x3960)
LCM = 189336905881200/3960
LCM = 47812349970
Thus, we can understand that the LCM of 914,990,693,974,310 is 47812349970.
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FAQs on LCM of 914, 990, 693, 974, 310
1. What is the LCM of 914, 990, 693, 974, 310?
Answer: LCM of 914, 990, 693, 974, 310 is 47812349970.
2. How to calculate the LCM of 914, 990, 693, 974, 310?
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, 990, 693, 974, 310.
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}.