LCM of 824, 422, 627, 412
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 824, 422, 627, 412 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 824, 422, 627, 412. So, keep reading to learn more.
Given numbers are 824,422,627,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,422,627,412 is 109012728.
Find LCM of 824,422,627,412 with Prime Factorization
| 2 | 824, 422, 627, 412 |
| 2 | 412, 211, 627, 206 |
| 103 | 103, 211, 627, 206 |
| 1, 211, 627, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 103 x 1 x 211 x 627 x 2 = 109012728
Therefore, the lowest common multiple of 824,422,627,412 is 109012728.
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.
824 x 422 x 627 x 412 = 89826487872
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
422 : 1, 2, 211, 422
627 : 1, 3, 11, 19, 33, 57, 209, 627
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,422,627,412, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
422:2x 211
627:3x 11x 19
412:2x 2x 103
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 103 = 824
Therefore, the value for common factors is 824.
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 = 89826487872/(1x824)
LCM = 89826487872/824
LCM = 109012728
Thus, we can understand that the LCM of 824,422,627,412 is 109012728.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 824, 422, 627, 412
1. What is the LCM of 824, 422, 627, 412?
Answer: LCM of 824, 422, 627, 412 is 109012728.
2. How to calculate the LCM of 824, 422, 627, 412?
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 824, 422, 627, 412.
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}.