LCM of 222, 342, 315, 608, 931
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 222, 342, 315, 608, 931 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 222, 342, 315, 608, 931. So, keep reading to learn more.
Given numbers are 222,342,315,608,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 222,342,315,608,931 is 49603680.
Find LCM of 222,342,315,608,931 with Prime Factorization
| 2 | 222, 342, 315, 608, 931 |
| 3 | 111, 171, 315, 304, 931 |
| 3 | 37, 57, 105, 304, 931 |
| 7 | 37, 19, 35, 304, 931 |
| 19 | 37, 19, 5, 304, 133 |
| 37, 1, 5, 16, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 19 x 37 x 1 x 5 x 16 x 7 = 49603680
Therefore, the lowest common multiple of 222,342,315,608,931 is 49603680.
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.
222 x 342 x 315 x 608 x 931 = 13537637930880
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.
222 : 1, 2, 3, 6, 37, 74, 111, 222
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,342,315,608,931, is 1.
Now, the common factors can be found like this.
222:2x 3x 37
342:2x 3x 3x 19
315:3x 3x 5x 7
608:2x 2x 2x 2x 2x 19
931:7x 7x 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 3x 3x 3x 7x 19x 19 = 272916
Therefore, the value for common factors is 272916.
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 = 13537637930880/(1x272916)
LCM = 13537637930880/272916
LCM = 49603680
Thus, we can understand that the LCM of 222,342,315,608,931 is 49603680.
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FAQs on LCM of 222, 342, 315, 608, 931
1. What is the LCM of 222, 342, 315, 608, 931?
Answer: LCM of 222, 342, 315, 608, 931 is 49603680.
2. How to calculate the LCM of 222, 342, 315, 608, 931?
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 222, 342, 315, 608, 931.
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}.