LCM of 230, 521, 451, 340, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 521, 451, 340, 894 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 230, 521, 451, 340, 894. So, keep reading to learn more.
Given numbers are 230,521,451,340,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,521,451,340,894 is 821350529340.
Find LCM of 230,521,451,340,894 with Prime Factorization
| 2 | 230, 521, 451, 340, 894 |
| 5 | 115, 521, 451, 170, 447 |
| 23, 521, 451, 34, 447 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 521 x 451 x 34 x 447 = 821350529340
Therefore, the lowest common multiple of 230,521,451,340,894 is 821350529340.
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.
230 x 521 x 451 x 340 x 894 = 16427010586800
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
521 : 1, 521
451 : 1, 11, 41, 451
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,521,451,340,894, is 1.
Now, the common factors can be found like this.
230:2x 5x 23
521:521
451:11x 41
340:2x 2x 5x 17
894:2x 3x 149
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 5 = 20
Therefore, the value for common factors is 20.
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 = 16427010586800/(1x20)
LCM = 16427010586800/20
LCM = 821350529340
Thus, we can understand that the LCM of 230,521,451,340,894 is 821350529340.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 230, 521, 451, 340, 894
1. What is the LCM of 230, 521, 451, 340, 894?
Answer: LCM of 230, 521, 451, 340, 894 is 821350529340.
2. How to calculate the LCM of 230, 521, 451, 340, 894?
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 230, 521, 451, 340, 894.
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}.