LCM of 722, 901, 144, 124, 579
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 901, 144, 124, 579 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 722, 901, 144, 124, 579. So, keep reading to learn more.
Given numbers are 722,901,144,124,579
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,901,144,124,579 is 280229265072.
Find LCM of 722,901,144,124,579 with Prime Factorization
| 2 | 722, 901, 144, 124, 579 |
| 2 | 361, 901, 72, 62, 579 |
| 3 | 361, 901, 36, 31, 579 |
| 361, 901, 12, 31, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 361 x 901 x 12 x 31 x 193 = 280229265072
Therefore, the lowest common multiple of 722,901,144,124,579 is 280229265072.
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.
722 x 901 x 144 x 124 x 579 = 6725502361728
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.
722 : 1, 2, 19, 38, 361, 722
901 : 1, 17, 53, 901
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
124 : 1, 2, 4, 31, 62, 124
579 : 1, 3, 193, 579
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,901,144,124,579, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
901:17x 53
144:2x 2x 2x 2x 3x 3
124:2x 2x 31
579:3x 193
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 3 = 24
Therefore, the value for common factors is 24.
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 = 6725502361728/(1x24)
LCM = 6725502361728/24
LCM = 280229265072
Thus, we can understand that the LCM of 722,901,144,124,579 is 280229265072.
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FAQs on LCM of 722, 901, 144, 124, 579
1. What is the LCM of 722, 901, 144, 124, 579?
Answer: LCM of 722, 901, 144, 124, 579 is 280229265072.
2. How to calculate the LCM of 722, 901, 144, 124, 579?
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 722, 901, 144, 124, 579.
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}.