LCM of 140, 455, 106, 973, 180
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 140, 455, 106, 973, 180 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 140, 455, 106, 973, 180. So, keep reading to learn more.
Given numbers are 140,455,106,973,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 140,455,106,973,180 is 120671460.
Find LCM of 140,455,106,973,180 with Prime Factorization
| 2 | 140, 455, 106, 973, 180 |
| 2 | 70, 455, 53, 973, 90 |
| 5 | 35, 455, 53, 973, 45 |
| 7 | 7, 91, 53, 973, 9 |
| 1, 13, 53, 139, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 1 x 13 x 53 x 139 x 9 = 120671460
Therefore, the lowest common multiple of 140,455,106,973,180 is 120671460.
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.
140 x 455 x 106 x 973 x 180 = 1182580308000
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.
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
455 : 1, 5, 7, 13, 35, 65, 91, 455
106 : 1, 2, 53, 106
973 : 1, 7, 139, 973
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,455,106,973,180, is 1.
Now, the common factors can be found like this.
140:2x 2x 5x 7
455:5x 7x 13
106:2x 53
973:7x 139
180:2x 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 5x 5x 7x 7 = 9800
Therefore, the value for common factors is 9800.
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 = 1182580308000/(1x9800)
LCM = 1182580308000/9800
LCM = 120671460
Thus, we can understand that the LCM of 140,455,106,973,180 is 120671460.
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FAQs on LCM of 140, 455, 106, 973, 180
1. What is the LCM of 140, 455, 106, 973, 180?
Answer: LCM of 140, 455, 106, 973, 180 is 120671460.
2. How to calculate the LCM of 140, 455, 106, 973, 180?
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 140, 455, 106, 973, 180.
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}.