LCM of 144, 748, 704, 722
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 144, 748, 704, 722 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, 748, 704, 722. So, keep reading to learn more.
Given numbers are 144,748,704,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,748,704,722 is 38884032.
Find LCM of 144,748,704,722 with Prime Factorization
| 2 | 144, 748, 704, 722 |
| 2 | 72, 374, 352, 361 |
| 2 | 36, 187, 176, 361 |
| 2 | 18, 187, 88, 361 |
| 11 | 9, 187, 44, 361 |
| 9, 17, 4, 361 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 9 x 17 x 4 x 361 = 38884032
Therefore, the lowest common multiple of 144,748,704,722 is 38884032.
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 748 x 704 x 722 = 54748717056
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
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
722 : 1, 2, 19, 38, 361, 722
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,748,704,722, is 2.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
748:2x 2x 11x 17
704:2x 2x 2x 2x 2x 2x 11
722:2x 19x 19
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 11 = 704
Therefore, the value for common factors is 704.
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 = 54748717056/(2x704)
LCM = 54748717056/1408
LCM = 38884032
Thus, we can understand that the LCM of 144,748,704,722 is 38884032.
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FAQs on LCM of 144, 748, 704, 722
1. What is the LCM of 144, 748, 704, 722?
Answer: LCM of 144, 748, 704, 722 is 38884032.
2. How to calculate the LCM of 144, 748, 704, 722?
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, 748, 704, 722.
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}.