LCM of 746, 992, 320, 339, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 992, 320, 339, 284 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 746, 992, 320, 339, 284. So, keep reading to learn more.
Given numbers are 746,992,320,339,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,992,320,339,284 is 89059151040.
Find LCM of 746,992,320,339,284 with Prime Factorization
| 2 | 746, 992, 320, 339, 284 |
| 2 | 373, 496, 160, 339, 142 |
| 2 | 373, 248, 80, 339, 71 |
| 2 | 373, 124, 40, 339, 71 |
| 2 | 373, 62, 20, 339, 71 |
| 373, 31, 10, 339, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 373 x 31 x 10 x 339 x 71 = 89059151040
Therefore, the lowest common multiple of 746,992,320,339,284 is 89059151040.
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.
746 x 992 x 320 x 339 x 284 = 22799142666240
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.
746 : 1, 2, 373, 746
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
339 : 1, 3, 113, 339
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,992,320,339,284, is 1.
Now, the common factors can be found like this.
746:2x 373
992:2x 2x 2x 2x 2x 31
320:2x 2x 2x 2x 2x 2x 5
339:3x 113
284:2x 2x 71
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 = 22799142666240/(1x256)
LCM = 22799142666240/256
LCM = 89059151040
Thus, we can understand that the LCM of 746,992,320,339,284 is 89059151040.
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FAQs on LCM of 746, 992, 320, 339, 284
1. What is the LCM of 746, 992, 320, 339, 284?
Answer: LCM of 746, 992, 320, 339, 284 is 89059151040.
2. How to calculate the LCM of 746, 992, 320, 339, 284?
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 746, 992, 320, 339, 284.
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}.