LCM of 894, 732, 460, 341, 876
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 732, 460, 341, 876 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 894, 732, 460, 341, 876. So, keep reading to learn more.
Given numbers are 894,732,460,341,876
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,732,460,341,876 is 312228418260.
Find LCM of 894,732,460,341,876 with Prime Factorization
| 2 | 894, 732, 460, 341, 876 |
| 2 | 447, 366, 230, 341, 438 |
| 3 | 447, 183, 115, 341, 219 |
| 149, 61, 115, 341, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 149 x 61 x 115 x 341 x 73 = 312228418260
Therefore, the lowest common multiple of 894,732,460,341,876 is 312228418260.
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.
894 x 732 x 460 x 341 x 876 = 89921784458880
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
341 : 1, 11, 31, 341
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,732,460,341,876, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
732:2x 2x 3x 61
460:2x 2x 5x 23
341:11x 31
876:2x 2x 3x 73
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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 89921784458880/(1x288)
LCM = 89921784458880/288
LCM = 312228418260
Thus, we can understand that the LCM of 894,732,460,341,876 is 312228418260.
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FAQs on LCM of 894, 732, 460, 341, 876
1. What is the LCM of 894, 732, 460, 341, 876?
Answer: LCM of 894, 732, 460, 341, 876 is 312228418260.
2. How to calculate the LCM of 894, 732, 460, 341, 876?
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 894, 732, 460, 341, 876.
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}.