LCM of 720, 715, 238, 122
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 720, 715, 238, 122 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 720, 715, 238, 122. So, keep reading to learn more.
Given numbers are 720,715,238,122
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 720,715,238,122 is 747386640.
Find LCM of 720,715,238,122 with Prime Factorization
| 2 | 720, 715, 238, 122 |
| 5 | 360, 715, 119, 61 |
| 72, 143, 119, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 72 x 143 x 119 x 61 = 747386640
Therefore, the lowest common multiple of 720,715,238,122 is 747386640.
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.
720 x 715 x 238 x 122 = 14947732800
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.
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
715 : 1, 5, 11, 13, 55, 65, 143, 715
238 : 1, 2, 7, 14, 17, 34, 119, 238
122 : 1, 2, 61, 122
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,715,238,122, is 1.
Now, the common factors can be found like this.
720:2x 2x 2x 2x 3x 3x 5
715:5x 11x 13
238:2x 7x 17
122:2x 61
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 5 = 20
Therefore, the value for common factors is 20.
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 = 14947732800/(1x20)
LCM = 14947732800/20
LCM = 747386640
Thus, we can understand that the LCM of 720,715,238,122 is 747386640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 720, 715, 238, 122
1. What is the LCM of 720, 715, 238, 122?
Answer: LCM of 720, 715, 238, 122 is 747386640.
2. How to calculate the LCM of 720, 715, 238, 122?
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 720, 715, 238, 122.
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}.