LCM of 380, 872, 890, 654, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 872, 890, 654, 314 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 380, 872, 890, 654, 314. So, keep reading to learn more.
Given numbers are 380,872,890,654,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,872,890,654,314 is 3472569960.
Find LCM of 380,872,890,654,314 with Prime Factorization
| 2 | 380, 872, 890, 654, 314 |
| 2 | 190, 436, 445, 327, 157 |
| 5 | 95, 218, 445, 327, 157 |
| 109 | 19, 218, 89, 327, 157 |
| 19, 2, 89, 3, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 109 x 19 x 2 x 89 x 3 x 157 = 3472569960
Therefore, the lowest common multiple of 380,872,890,654,314 is 3472569960.
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.
380 x 872 x 890 x 654 x 314 = 60561620102400
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
872 : 1, 2, 4, 8, 109, 218, 436, 872
890 : 1, 2, 5, 10, 89, 178, 445, 890
654 : 1, 2, 3, 6, 109, 218, 327, 654
314 : 1, 2, 157, 314
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,872,890,654,314, is 2.
Now, the common factors can be found like this.
380:2x 2x 5x 19
872:2x 2x 2x 109
890:2x 5x 89
654:2x 3x 109
314:2x 157
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 5x 109 = 8720
Therefore, the value for common factors is 8720.
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 = 60561620102400/(2x8720)
LCM = 60561620102400/17440
LCM = 3472569960
Thus, we can understand that the LCM of 380,872,890,654,314 is 3472569960.
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FAQs on LCM of 380, 872, 890, 654, 314
1. What is the LCM of 380, 872, 890, 654, 314?
Answer: LCM of 380, 872, 890, 654, 314 is 3472569960.
2. How to calculate the LCM of 380, 872, 890, 654, 314?
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 380, 872, 890, 654, 314.
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}.