LCM of 894, 640, 687, 905, 745
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 640, 687, 905, 745 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, 640, 687, 905, 745. So, keep reading to learn more.
Given numbers are 894,640,687,905,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,640,687,905,745 is 11857729920.
Find LCM of 894,640,687,905,745 with Prime Factorization
| 2 | 894, 640, 687, 905, 745 |
| 3 | 447, 320, 687, 905, 745 |
| 5 | 149, 320, 229, 905, 745 |
| 149 | 149, 64, 229, 181, 149 |
| 1, 64, 229, 181, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 149 x 1 x 64 x 229 x 181 x 1 = 11857729920
Therefore, the lowest common multiple of 894,640,687,905,745 is 11857729920.
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 640 x 687 x 905 x 745 = 265020263712000
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
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
687 : 1, 3, 229, 687
905 : 1, 5, 181, 905
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,640,687,905,745, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
640:2x 2x 2x 2x 2x 2x 2x 5
687:3x 229
905:5x 181
745:5x 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 3x 5x 5x 149 = 22350
Therefore, the value for common factors is 22350.
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 = 265020263712000/(1x22350)
LCM = 265020263712000/22350
LCM = 11857729920
Thus, we can understand that the LCM of 894,640,687,905,745 is 11857729920.
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FAQs on LCM of 894, 640, 687, 905, 745
1. What is the LCM of 894, 640, 687, 905, 745?
Answer: LCM of 894, 640, 687, 905, 745 is 11857729920.
2. How to calculate the LCM of 894, 640, 687, 905, 745?
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, 640, 687, 905, 745.
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}.