LCM of 252, 823, 438, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 252, 823, 438, 105 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, 823, 438, 105. So, keep reading to learn more.
Given numbers are 252,823,438,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 252,823,438,105 is 75699540.
Find LCM of 252,823,438,105 with Prime Factorization
| 2 | 252, 823, 438, 105 |
| 3 | 126, 823, 219, 105 |
| 7 | 42, 823, 73, 35 |
| 6, 823, 73, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 6 x 823 x 73 x 5 = 75699540
Therefore, the lowest common multiple of 252,823,438,105 is 75699540.
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 823 x 438 x 105 = 9538142040
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
823 : 1, 823
438 : 1, 2, 3, 6, 73, 146, 219, 438
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,823,438,105, is 1.
Now, the common factors can be found like this.
252:2x 2x 3x 3x 7
823:823
438:2x 3x 73
105:3x 5x 7
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 3x 7 = 126
Therefore, the value for common factors is 126.
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 = 9538142040/(1x126)
LCM = 9538142040/126
LCM = 75699540
Thus, we can understand that the LCM of 252,823,438,105 is 75699540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 252, 823, 438, 105
1. What is the LCM of 252, 823, 438, 105?
Answer: LCM of 252, 823, 438, 105 is 75699540.
2. How to calculate the LCM of 252, 823, 438, 105?
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, 823, 438, 105.
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}.