LCM of 38, 70, 14, 53, 360
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 38, 70, 14, 53, 360 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 38, 70, 14, 53, 360. So, keep reading to learn more.
Given numbers are 38,70,14,53,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 38,70,14,53,360 is 2537640.
Find LCM of 38,70,14,53,360 with Prime Factorization
| 2 | 38, 70, 14, 53, 360 |
| 5 | 19, 35, 7, 53, 180 |
| 7 | 19, 7, 7, 53, 36 |
| 19, 1, 1, 53, 36 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 19 x 1 x 1 x 53 x 36 = 2537640
Therefore, the lowest common multiple of 38,70,14,53,360 is 2537640.
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.
38 x 70 x 14 x 53 x 360 = 710539200
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.
38 : 1, 2, 19, 38
70 : 1, 2, 5, 7, 10, 14, 35, 70
14 : 1, 2, 7, 14
53 : 1, 53
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 38,70,14,53,360, is 1.
Now, the common factors can be found like this.
38:2x 19
70:2x 5x 7
14:2x 7
53:53
360:2x 2x 2x 3x 3x 5
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 5x 7 = 280
Therefore, the value for common factors is 280.
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 = 710539200/(1x280)
LCM = 710539200/280
LCM = 2537640
Thus, we can understand that the LCM of 38,70,14,53,360 is 2537640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 38, 70, 14, 53, 360
1. What is the LCM of 38, 70, 14, 53, 360?
Answer: LCM of 38, 70, 14, 53, 360 is 2537640.
2. How to calculate the LCM of 38, 70, 14, 53, 360?
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 38, 70, 14, 53, 360.
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}.