LCM of 252, 723, 412, 994
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 252, 723, 412, 994 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 252, 723, 412, 994. So, keep reading to learn more.
Given numbers are 252,723,412,994
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 252,723,412,994 is 444133116.
Find LCM of 252,723,412,994 with Prime Factorization
| 2 | 252, 723, 412, 994 |
| 2 | 126, 723, 206, 497 |
| 3 | 63, 723, 103, 497 |
| 7 | 21, 241, 103, 497 |
| 3, 241, 103, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 3 x 241 x 103 x 71 = 444133116
Therefore, the lowest common multiple of 252,723,412,994 is 444133116.
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.
252 x 723 x 412 x 994 = 74614363488
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.
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
723 : 1, 3, 241, 723
412 : 1, 2, 4, 103, 206, 412
994 : 1, 2, 7, 14, 71, 142, 497, 994
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,723,412,994, is 1.
Now, the common factors can be found like this.
252:2x 2x 3x 3x 7
723:3x 241
412:2x 2x 103
994:2x 7x 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 2x 2x 3x 7 = 168
Therefore, the value for common factors is 168.
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 = 74614363488/(1x168)
LCM = 74614363488/168
LCM = 444133116
Thus, we can understand that the LCM of 252,723,412,994 is 444133116.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 252, 723, 412, 994
1. What is the LCM of 252, 723, 412, 994?
Answer: LCM of 252, 723, 412, 994 is 444133116.
2. How to calculate the LCM of 252, 723, 412, 994?
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 252, 723, 412, 994.
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}.