LCM of 893, 198, 888, 180, 360
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 893, 198, 888, 180, 360 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 893, 198, 888, 180, 360. So, keep reading to learn more.
Given numbers are 893,198,888,180,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,198,888,180,360 is 130842360.
Find LCM of 893,198,888,180,360 with Prime Factorization
| 2 | 893, 198, 888, 180, 360 |
| 2 | 893, 99, 444, 90, 180 |
| 2 | 893, 99, 222, 45, 90 |
| 3 | 893, 99, 111, 45, 45 |
| 3 | 893, 33, 37, 15, 15 |
| 5 | 893, 11, 37, 5, 5 |
| 893, 11, 37, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 893 x 11 x 37 x 1 x 1 = 130842360
Therefore, the lowest common multiple of 893,198,888,180,360 is 130842360.
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.
893 x 198 x 888 x 180 x 360 = 10174301913600
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.
893 : 1, 19, 47, 893
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,198,888,180,360, is 1.
Now, the common factors can be found like this.
893:19x 47
198:2x 3x 3x 11
888:2x 2x 2x 3x 37
180:2x 2x 3x 3x 5
360:2x 2x 2x 3x 3x 5
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 3x 3x 3x 3x 3x 5 = 77760
Therefore, the value for common factors is 77760.
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 = 10174301913600/(1x77760)
LCM = 10174301913600/77760
LCM = 130842360
Thus, we can understand that the LCM of 893,198,888,180,360 is 130842360.
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FAQs on LCM of 893, 198, 888, 180, 360
1. What is the LCM of 893, 198, 888, 180, 360?
Answer: LCM of 893, 198, 888, 180, 360 is 130842360.
2. How to calculate the LCM of 893, 198, 888, 180, 360?
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 893, 198, 888, 180, 360.
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}.