LCM of 359, 198, 891, 360, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 359, 198, 891, 360, 748 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 359, 198, 891, 360, 748. So, keep reading to learn more.
Given numbers are 359,198,891,360,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,198,891,360,748 is 217510920.
Find LCM of 359,198,891,360,748 with Prime Factorization
| 2 | 359, 198, 891, 360, 748 |
| 2 | 359, 99, 891, 180, 374 |
| 3 | 359, 99, 891, 90, 187 |
| 3 | 359, 33, 297, 30, 187 |
| 11 | 359, 11, 99, 10, 187 |
| 359, 1, 9, 10, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 359 x 1 x 9 x 10 x 17 = 217510920
Therefore, the lowest common multiple of 359,198,891,360,748 is 217510920.
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.
359 x 198 x 891 x 360 x 748 = 17054596215360
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.
359 : 1, 359
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
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
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,198,891,360,748, is 1.
Now, the common factors can be found like this.
359:359
198:2x 3x 3x 11
891:3x 3x 3x 3x 11
360:2x 2x 2x 3x 3x 5
748:2x 2x 11x 17
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 3x 3x 3x 3x 11x 11 = 78408
Therefore, the value for common factors is 78408.
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 = 17054596215360/(1x78408)
LCM = 17054596215360/78408
LCM = 217510920
Thus, we can understand that the LCM of 359,198,891,360,748 is 217510920.
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FAQs on LCM of 359, 198, 891, 360, 748
1. What is the LCM of 359, 198, 891, 360, 748?
Answer: LCM of 359, 198, 891, 360, 748 is 217510920.
2. How to calculate the LCM of 359, 198, 891, 360, 748?
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 359, 198, 891, 360, 748.
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}.