LCM of 174, 320, 884, 860, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 174, 320, 884, 860, 380 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 174, 320, 884, 860, 380. So, keep reading to learn more.
Given numbers are 174,320,884,860,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 174,320,884,860,380 is 5026706880.
Find LCM of 174,320,884,860,380 with Prime Factorization
| 2 | 174, 320, 884, 860, 380 |
| 2 | 87, 160, 442, 430, 190 |
| 5 | 87, 80, 221, 215, 95 |
| 87, 16, 221, 43, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 87 x 16 x 221 x 43 x 19 = 5026706880
Therefore, the lowest common multiple of 174,320,884,860,380 is 5026706880.
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.
174 x 320 x 884 x 860 x 380 = 16085462016000
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.
174 : 1, 2, 3, 6, 29, 58, 87, 174
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,320,884,860,380, is 2.
Now, the common factors can be found like this.
174:2x 3x 29
320:2x 2x 2x 2x 2x 2x 5
884:2x 2x 13x 17
860:2x 2x 5x 43
380:2x 2x 5x 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 2x 2x 2x 2x 5x 5 = 1600
Therefore, the value for common factors is 1600.
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 = 16085462016000/(2x1600)
LCM = 16085462016000/3200
LCM = 5026706880
Thus, we can understand that the LCM of 174,320,884,860,380 is 5026706880.
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FAQs on LCM of 174, 320, 884, 860, 380
1. What is the LCM of 174, 320, 884, 860, 380?
Answer: LCM of 174, 320, 884, 860, 380 is 5026706880.
2. How to calculate the LCM of 174, 320, 884, 860, 380?
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 174, 320, 884, 860, 380.
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}.