LCM of 144, 802, 226, 583
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 144, 802, 226, 583 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, 802, 226, 583. So, keep reading to learn more.
Given numbers are 144,802,226,583
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,802,226,583 is 3804116976.
Find LCM of 144,802,226,583 with Prime Factorization
| 2 | 144, 802, 226, 583 |
| 72, 401, 113, 583 |
Multiply the prime numbers at the bottom and the left side.
2 x 72 x 401 x 113 x 583 = 3804116976
Therefore, the lowest common multiple of 144,802,226,583 is 3804116976.
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 802 x 226 x 583 = 15216467904
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
802 : 1, 2, 401, 802
226 : 1, 2, 113, 226
583 : 1, 11, 53, 583
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,802,226,583, is 1.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
802:2x 401
226:2x 113
583:11x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 15216467904/(1x4)
LCM = 15216467904/4
LCM = 3804116976
Thus, we can understand that the LCM of 144,802,226,583 is 3804116976.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 144, 802, 226, 583
1. What is the LCM of 144, 802, 226, 583?
Answer: LCM of 144, 802, 226, 583 is 3804116976.
2. How to calculate the LCM of 144, 802, 226, 583?
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, 802, 226, 583.
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}.