LCM of 592, 135, 288, 314, 846
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 592, 135, 288, 314, 846 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 592, 135, 288, 314, 846. So, keep reading to learn more.
Given numbers are 592,135,288,314,846
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 592,135,288,314,846 is 1179459360.
Find LCM of 592,135,288,314,846 with Prime Factorization
| 2 | 592, 135, 288, 314, 846 |
| 2 | 296, 135, 144, 157, 423 |
| 2 | 148, 135, 72, 157, 423 |
| 2 | 74, 135, 36, 157, 423 |
| 3 | 37, 135, 18, 157, 423 |
| 3 | 37, 45, 6, 157, 141 |
| 37, 15, 2, 157, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 37 x 15 x 2 x 157 x 47 = 1179459360
Therefore, the lowest common multiple of 592,135,288,314,846 is 1179459360.
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.
592 x 135 x 288 x 314 x 846 = 6114317322240
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.
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
135 : 1, 3, 5, 9, 15, 27, 45, 135
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
314 : 1, 2, 157, 314
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,135,288,314,846, is 1.
Now, the common factors can be found like this.
592:2x 2x 2x 2x 37
135:3x 3x 3x 5
288:2x 2x 2x 2x 2x 3x 3
314:2x 157
846:2x 3x 3x 47
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 2x 2x 2x 3x 3x 3x 3 = 5184
Therefore, the value for common factors is 5184.
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 = 6114317322240/(1x5184)
LCM = 6114317322240/5184
LCM = 1179459360
Thus, we can understand that the LCM of 592,135,288,314,846 is 1179459360.
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FAQs on LCM of 592, 135, 288, 314, 846
1. What is the LCM of 592, 135, 288, 314, 846?
Answer: LCM of 592, 135, 288, 314, 846 is 1179459360.
2. How to calculate the LCM of 592, 135, 288, 314, 846?
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 592, 135, 288, 314, 846.
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}.