LCM of 638, 722, 486, 915
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 638, 722, 486, 915 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 638, 722, 486, 915. So, keep reading to learn more.
Given numbers are 638,722,486,915
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,722,486,915 is 17070018570.
Find LCM of 638,722,486,915 with Prime Factorization
| 2 | 638, 722, 486, 915 |
| 3 | 319, 361, 243, 915 |
| 319, 361, 81, 305 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 319 x 361 x 81 x 305 = 17070018570
Therefore, the lowest common multiple of 638,722,486,915 is 17070018570.
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.
638 x 722 x 486 x 915 = 204840222840
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
722 : 1, 2, 19, 38, 361, 722
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
915 : 1, 3, 5, 15, 61, 183, 305, 915
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,722,486,915, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
722:2x 19x 19
486:2x 3x 3x 3x 3x 3
915:3x 5x 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 3 = 12
Therefore, the value for common factors is 12.
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 = 204840222840/(1x12)
LCM = 204840222840/12
LCM = 17070018570
Thus, we can understand that the LCM of 638,722,486,915 is 17070018570.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 638, 722, 486, 915
1. What is the LCM of 638, 722, 486, 915?
Answer: LCM of 638, 722, 486, 915 is 17070018570.
2. How to calculate the LCM of 638, 722, 486, 915?
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 638, 722, 486, 915.
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}.