LCM of 660, 722, 414, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 660, 722, 414, 138 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 660, 722, 414, 138. So, keep reading to learn more.
Given numbers are 660,722,414,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 660,722,414,138 is 16439940.
Find LCM of 660,722,414,138 with Prime Factorization
| 2 | 660, 722, 414, 138 |
| 3 | 330, 361, 207, 69 |
| 23 | 110, 361, 23, 69 |
| 110, 361, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 110 x 361 x 1 x 3 = 16439940
Therefore, the lowest common multiple of 660,722,414,138 is 16439940.
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.
660 x 722 x 414 x 138 = 27224540640
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.
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
722 : 1, 2, 19, 38, 361, 722
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
138 : 1, 2, 3, 6, 23, 46, 69, 138
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,722,414,138, is 2.
Now, the common factors can be found like this.
660:2x 2x 3x 5x 11
722:2x 19x 19
414:2x 3x 3x 23
138:2x 3x 23
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 3x 3x 23 = 828
Therefore, the value for common factors is 828.
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 = 27224540640/(2x828)
LCM = 27224540640/1656
LCM = 16439940
Thus, we can understand that the LCM of 660,722,414,138 is 16439940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 660, 722, 414, 138
1. What is the LCM of 660, 722, 414, 138?
Answer: LCM of 660, 722, 414, 138 is 16439940.
2. How to calculate the LCM of 660, 722, 414, 138?
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 660, 722, 414, 138.
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}.