LCM of 180, 417, 972, 112, 444
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 180, 417, 972, 112, 444 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, 417, 972, 112, 444. So, keep reading to learn more.
Given numbers are 180,417,972,112,444
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,417,972,112,444 is 699859440.
Find LCM of 180,417,972,112,444 with Prime Factorization
| 2 | 180, 417, 972, 112, 444 |
| 2 | 90, 417, 486, 56, 222 |
| 3 | 45, 417, 243, 28, 111 |
| 3 | 15, 139, 81, 28, 37 |
| 5, 139, 27, 28, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 139 x 27 x 28 x 37 = 699859440
Therefore, the lowest common multiple of 180,417,972,112,444 is 699859440.
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 417 x 972 x 112 x 444 = 3628071336960
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
417 : 1, 3, 139, 417
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,417,972,112,444, is 1.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
417:3x 139
972:2x 2x 3x 3x 3x 3x 3
112:2x 2x 2x 2x 7
444:2x 2x 3x 37
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 3 = 5184
Therefore, the value for common factors is 5184.
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 = 3628071336960/(1x5184)
LCM = 3628071336960/5184
LCM = 699859440
Thus, we can understand that the LCM of 180,417,972,112,444 is 699859440.
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FAQs on LCM of 180, 417, 972, 112, 444
1. What is the LCM of 180, 417, 972, 112, 444?
Answer: LCM of 180, 417, 972, 112, 444 is 699859440.
2. How to calculate the LCM of 180, 417, 972, 112, 444?
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, 417, 972, 112, 444.
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}.