LCM of 816, 946, 374, 734, 718
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 946, 374, 734, 718 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 816, 946, 374, 734, 718. So, keep reading to learn more.
Given numbers are 816,946,374,734,718
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,946,374,734,718 is 50852441904.
Find LCM of 816,946,374,734,718 with Prime Factorization
| 2 | 816, 946, 374, 734, 718 |
| 11 | 408, 473, 187, 367, 359 |
| 17 | 408, 43, 17, 367, 359 |
| 24, 43, 1, 367, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 24 x 43 x 1 x 367 x 359 = 50852441904
Therefore, the lowest common multiple of 816,946,374,734,718 is 50852441904.
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.
816 x 946 x 374 x 734 x 718 = 152150506176768
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
946 : 1, 2, 11, 22, 43, 86, 473, 946
374 : 1, 2, 11, 17, 22, 34, 187, 374
734 : 1, 2, 367, 734
718 : 1, 2, 359, 718
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,946,374,734,718, is 2.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
946:2x 11x 43
374:2x 11x 17
734:2x 367
718:2x 359
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 11x 17 = 1496
Therefore, the value for common factors is 1496.
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 = 152150506176768/(2x1496)
LCM = 152150506176768/2992
LCM = 50852441904
Thus, we can understand that the LCM of 816,946,374,734,718 is 50852441904.
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FAQs on LCM of 816, 946, 374, 734, 718
1. What is the LCM of 816, 946, 374, 734, 718?
Answer: LCM of 816, 946, 374, 734, 718 is 50852441904.
2. How to calculate the LCM of 816, 946, 374, 734, 718?
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 816, 946, 374, 734, 718.
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}.