LCM of 212, 440, 849, 993
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 212, 440, 849, 993 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 212, 440, 849, 993. So, keep reading to learn more.
Given numbers are 212,440,849,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 212,440,849,993 is 6553363080.
Find LCM of 212,440,849,993 with Prime Factorization
| 2 | 212, 440, 849, 993 |
| 2 | 106, 220, 849, 993 |
| 3 | 53, 110, 849, 993 |
| 53, 110, 283, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 53 x 110 x 283 x 331 = 6553363080
Therefore, the lowest common multiple of 212,440,849,993 is 6553363080.
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.
212 x 440 x 849 x 993 = 78640356960
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.
212 : 1, 2, 4, 53, 106, 212
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
849 : 1, 3, 283, 849
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,440,849,993, is 1.
Now, the common factors can be found like this.
212:2x 2x 53
440:2x 2x 2x 5x 11
849:3x 283
993:3x 331
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 3 = 12
Therefore, the value for common factors is 12.
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 = 78640356960/(1x12)
LCM = 78640356960/12
LCM = 6553363080
Thus, we can understand that the LCM of 212,440,849,993 is 6553363080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 212, 440, 849, 993
1. What is the LCM of 212, 440, 849, 993?
Answer: LCM of 212, 440, 849, 993 is 6553363080.
2. How to calculate the LCM of 212, 440, 849, 993?
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 212, 440, 849, 993.
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}.