LCM of 890, 438, 172, 546, 341
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 890, 438, 172, 546, 341 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, 438, 172, 546, 341. So, keep reading to learn more.
Given numbers are 890,438,172,546,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 890,438,172,546,341 is 520149690060.
Find LCM of 890,438,172,546,341 with Prime Factorization
| 2 | 890, 438, 172, 546, 341 |
| 3 | 445, 219, 86, 273, 341 |
| 445, 73, 86, 91, 341 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 445 x 73 x 86 x 91 x 341 = 520149690060
Therefore, the lowest common multiple of 890,438,172,546,341 is 520149690060.
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 438 x 172 x 546 x 341 = 12483592561440
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
438 : 1, 2, 3, 6, 73, 146, 219, 438
172 : 1, 2, 4, 43, 86, 172
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,438,172,546,341, is 1.
Now, the common factors can be found like this.
890:2x 5x 89
438:2x 3x 73
172:2x 2x 43
546:2x 3x 7x 13
341:11x 31
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 3 = 24
Therefore, the value for common factors is 24.
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 = 12483592561440/(1x24)
LCM = 12483592561440/24
LCM = 520149690060
Thus, we can understand that the LCM of 890,438,172,546,341 is 520149690060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 890, 438, 172, 546, 341
1. What is the LCM of 890, 438, 172, 546, 341?
Answer: LCM of 890, 438, 172, 546, 341 is 520149690060.
2. How to calculate the LCM of 890, 438, 172, 546, 341?
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, 438, 172, 546, 341.
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}.