LCM of 992, 360, 414, 760, 753
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 992, 360, 414, 760, 753 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 992, 360, 414, 760, 753. So, keep reading to learn more.
Given numbers are 992,360,414,760,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,360,414,760,753 is 4896427680.
Find LCM of 992,360,414,760,753 with Prime Factorization
| 2 | 992, 360, 414, 760, 753 |
| 2 | 496, 180, 207, 380, 753 |
| 2 | 248, 90, 207, 190, 753 |
| 3 | 124, 45, 207, 95, 753 |
| 3 | 124, 15, 69, 95, 251 |
| 5 | 124, 5, 23, 95, 251 |
| 124, 1, 23, 19, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 124 x 1 x 23 x 19 x 251 = 4896427680
Therefore, the lowest common multiple of 992,360,414,760,753 is 4896427680.
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.
992 x 360 x 414 x 760 x 753 = 84610270310400
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.
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
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
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
753 : 1, 3, 251, 753
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,360,414,760,753, is 1.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
360:2x 2x 2x 3x 3x 5
414:2x 3x 3x 23
760:2x 2x 2x 5x 19
753:3x 251
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 3x 3x 3x 5 = 17280
Therefore, the value for common factors is 17280.
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 = 84610270310400/(1x17280)
LCM = 84610270310400/17280
LCM = 4896427680
Thus, we can understand that the LCM of 992,360,414,760,753 is 4896427680.
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FAQs on LCM of 992, 360, 414, 760, 753
1. What is the LCM of 992, 360, 414, 760, 753?
Answer: LCM of 992, 360, 414, 760, 753 is 4896427680.
2. How to calculate the LCM of 992, 360, 414, 760, 753?
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 992, 360, 414, 760, 753.
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}.