LCM of 144, 993, 993, 674, 556
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 144, 993, 993, 674, 556 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 144, 993, 993, 674, 556. So, keep reading to learn more.
Given numbers are 144,993,993,674,556
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,993,993,674,556 is 2232724752.
Find LCM of 144,993,993,674,556 with Prime Factorization
| 2 | 144, 993, 993, 674, 556 |
| 2 | 72, 993, 993, 337, 278 |
| 3 | 36, 993, 993, 337, 139 |
| 331 | 12, 331, 331, 337, 139 |
| 12, 1, 1, 337, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 331 x 12 x 1 x 1 x 337 x 139 = 2232724752
Therefore, the lowest common multiple of 144,993,993,674,556 is 2232724752.
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.
144 x 993 x 993 x 674 x 556 = 53210296289664
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.
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
993 : 1, 3, 331, 993
993 : 1, 3, 331, 993
674 : 1, 2, 337, 674
556 : 1, 2, 4, 139, 278, 556
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,993,993,674,556, is 1.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
993:3x 331
993:3x 331
674:2x 337
556:2x 2x 139
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 331 = 23832
Therefore, the value for common factors is 23832.
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 = 53210296289664/(1x23832)
LCM = 53210296289664/23832
LCM = 2232724752
Thus, we can understand that the LCM of 144,993,993,674,556 is 2232724752.
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FAQs on LCM of 144, 993, 993, 674, 556
1. What is the LCM of 144, 993, 993, 674, 556?
Answer: LCM of 144, 993, 993, 674, 556 is 2232724752.
2. How to calculate the LCM of 144, 993, 993, 674, 556?
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 144, 993, 993, 674, 556.
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}.