LCM of 890, 384, 314, 220
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 890, 384, 314, 220 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 890, 384, 314, 220. So, keep reading to learn more.
Given numbers are 890,384,314,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 890,384,314,220 is 295109760.
Find LCM of 890,384,314,220 with Prime Factorization
| 2 | 890, 384, 314, 220 |
| 2 | 445, 192, 157, 110 |
| 5 | 445, 96, 157, 55 |
| 89, 96, 157, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 89 x 96 x 157 x 11 = 295109760
Therefore, the lowest common multiple of 890,384,314,220 is 295109760.
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.
890 x 384 x 314 x 220 = 23608780800
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.
890 : 1, 2, 5, 10, 89, 178, 445, 890
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
314 : 1, 2, 157, 314
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,384,314,220, is 2.
Now, the common factors can be found like this.
890:2x 5x 89
384:2x 2x 2x 2x 2x 2x 2x 3
314:2x 157
220:2x 2x 5x 11
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 5 = 40
Therefore, the value for common factors is 40.
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 = 23608780800/(2x40)
LCM = 23608780800/80
LCM = 295109760
Thus, we can understand that the LCM of 890,384,314,220 is 295109760.
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FAQs on LCM of 890, 384, 314, 220
1. What is the LCM of 890, 384, 314, 220?
Answer: LCM of 890, 384, 314, 220 is 295109760.
2. How to calculate the LCM of 890, 384, 314, 220?
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 890, 384, 314, 220.
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}.