LCM of 339, 135, 932, 714, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 339, 135, 932, 714, 975 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 339, 135, 932, 714, 975. So, keep reading to learn more.
Given numbers are 339,135,932,714,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,135,932,714,975 is 109973600100.
Find LCM of 339,135,932,714,975 with Prime Factorization
| 2 | 339, 135, 932, 714, 975 |
| 3 | 339, 135, 466, 357, 975 |
| 5 | 113, 45, 466, 119, 325 |
| 113, 9, 466, 119, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 113 x 9 x 466 x 119 x 65 = 109973600100
Therefore, the lowest common multiple of 339,135,932,714,975 is 109973600100.
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.
339 x 135 x 932 x 714 x 975 = 29692872027000
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.
339 : 1, 3, 113, 339
135 : 1, 3, 5, 9, 15, 27, 45, 135
932 : 1, 2, 4, 233, 466, 932
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,135,932,714,975, is 1.
Now, the common factors can be found like this.
339:3x 113
135:3x 3x 3x 5
932:2x 2x 233
714:2x 3x 7x 17
975:3x 5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 29692872027000/(1x270)
LCM = 29692872027000/270
LCM = 109973600100
Thus, we can understand that the LCM of 339,135,932,714,975 is 109973600100.
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FAQs on LCM of 339, 135, 932, 714, 975
1. What is the LCM of 339, 135, 932, 714, 975?
Answer: LCM of 339, 135, 932, 714, 975 is 109973600100.
2. How to calculate the LCM of 339, 135, 932, 714, 975?
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 339, 135, 932, 714, 975.
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}.