LCM of 180, 963, 360, 444, 154
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 180, 963, 360, 444, 154 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 180, 963, 360, 444, 154. So, keep reading to learn more.
Given numbers are 180,963,360,444,154
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,963,360,444,154 is 109743480.
Find LCM of 180,963,360,444,154 with Prime Factorization
| 2 | 180, 963, 360, 444, 154 |
| 2 | 90, 963, 180, 222, 77 |
| 3 | 45, 963, 90, 111, 77 |
| 3 | 15, 321, 30, 37, 77 |
| 5 | 5, 107, 10, 37, 77 |
| 1, 107, 2, 37, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 1 x 107 x 2 x 37 x 77 = 109743480
Therefore, the lowest common multiple of 180,963,360,444,154 is 109743480.
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.
180 x 963 x 360 x 444 x 154 = 4266826502400
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.
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
963 : 1, 3, 9, 107, 321, 963
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
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
154 : 1, 2, 7, 11, 14, 22, 77, 154
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,963,360,444,154, is 1.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
963:3x 3x 107
360:2x 2x 2x 3x 3x 5
444:2x 2x 3x 37
154:2x 7x 11
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 3x 3x 3x 3x 3x 5 = 38880
Therefore, the value for common factors is 38880.
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 = 4266826502400/(1x38880)
LCM = 4266826502400/38880
LCM = 109743480
Thus, we can understand that the LCM of 180,963,360,444,154 is 109743480.
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FAQs on LCM of 180, 963, 360, 444, 154
1. What is the LCM of 180, 963, 360, 444, 154?
Answer: LCM of 180, 963, 360, 444, 154 is 109743480.
2. How to calculate the LCM of 180, 963, 360, 444, 154?
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 180, 963, 360, 444, 154.
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}.