LCM of 993, 584, 992, 980
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 584, 992, 980 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 993, 584, 992, 980. So, keep reading to learn more.
Given numbers are 993,584,992,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,584,992,980 is 17617726560.
Find LCM of 993,584,992,980 with Prime Factorization
| 2 | 993, 584, 992, 980 |
| 2 | 993, 292, 496, 490 |
| 2 | 993, 146, 248, 245 |
| 993, 73, 124, 245 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 993 x 73 x 124 x 245 = 17617726560
Therefore, the lowest common multiple of 993,584,992,980 is 17617726560.
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.
993 x 584 x 992 x 980 = 563767249920
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.
993 : 1, 3, 331, 993
584 : 1, 2, 4, 8, 73, 146, 292, 584
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,584,992,980, is 1.
Now, the common factors can be found like this.
993:3x 331
584:2x 2x 2x 73
992:2x 2x 2x 2x 2x 31
980:2x 2x 5x 7x 7
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 2 = 32
Therefore, the value for common factors is 32.
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 = 563767249920/(1x32)
LCM = 563767249920/32
LCM = 17617726560
Thus, we can understand that the LCM of 993,584,992,980 is 17617726560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 993, 584, 992, 980
1. What is the LCM of 993, 584, 992, 980?
Answer: LCM of 993, 584, 992, 980 is 17617726560.
2. How to calculate the LCM of 993, 584, 992, 980?
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 993, 584, 992, 980.
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}.