LCM of 592, 837, 210, 640, 185
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 592, 837, 210, 640, 185 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, 837, 210, 640, 185. So, keep reading to learn more.
Given numbers are 592,837,210,640,185
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 592,837,210,640,185 is 138741120.
Find LCM of 592,837,210,640,185 with Prime Factorization
| 2 | 592, 837, 210, 640, 185 |
| 2 | 296, 837, 105, 320, 185 |
| 2 | 148, 837, 105, 160, 185 |
| 2 | 74, 837, 105, 80, 185 |
| 3 | 37, 837, 105, 40, 185 |
| 5 | 37, 279, 35, 40, 185 |
| 37 | 37, 279, 7, 8, 37 |
| 1, 279, 7, 8, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 37 x 1 x 279 x 7 x 8 x 1 = 138741120
Therefore, the lowest common multiple of 592,837,210,640,185 is 138741120.
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 837 x 210 x 640 x 185 = 12320211456000
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
837 : 1, 3, 9, 27, 31, 93, 279, 837
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
185 : 1, 5, 37, 185
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,837,210,640,185, is 1.
Now, the common factors can be found like this.
592:2x 2x 2x 2x 37
837:3x 3x 3x 31
210:2x 3x 5x 7
640:2x 2x 2x 2x 2x 2x 2x 5
185:5x 37
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 3x 5x 5x 37 = 88800
Therefore, the value for common factors is 88800.
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 = 12320211456000/(1x88800)
LCM = 12320211456000/88800
LCM = 138741120
Thus, we can understand that the LCM of 592,837,210,640,185 is 138741120.
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FAQs on LCM of 592, 837, 210, 640, 185
1. What is the LCM of 592, 837, 210, 640, 185?
Answer: LCM of 592, 837, 210, 640, 185 is 138741120.
2. How to calculate the LCM of 592, 837, 210, 640, 185?
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, 837, 210, 640, 185.
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}.