LCM of 894, 753, 574, 213
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 753, 574, 213 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, 753, 574, 213. So, keep reading to learn more.
Given numbers are 894,753,574,213
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,753,574,213 is 4572476538.
Find LCM of 894,753,574,213 with Prime Factorization
| 2 | 894, 753, 574, 213 |
| 3 | 447, 753, 287, 213 |
| 149, 251, 287, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 149 x 251 x 287 x 71 = 4572476538
Therefore, the lowest common multiple of 894,753,574,213 is 4572476538.
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 753 x 574 x 213 = 82304577684
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
753 : 1, 3, 251, 753
574 : 1, 2, 7, 14, 41, 82, 287, 574
213 : 1, 3, 71, 213
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,753,574,213, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
753:3x 251
574:2x 7x 41
213:3x 71
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 3 = 18
Therefore, the value for common factors is 18.
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 = 82304577684/(1x18)
LCM = 82304577684/18
LCM = 4572476538
Thus, we can understand that the LCM of 894,753,574,213 is 4572476538.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 894, 753, 574, 213
1. What is the LCM of 894, 753, 574, 213?
Answer: LCM of 894, 753, 574, 213 is 4572476538.
2. How to calculate the LCM of 894, 753, 574, 213?
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, 753, 574, 213.
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}.