LCM of 878, 824, 600, 538
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 878, 824, 600, 538 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 878, 824, 600, 538. So, keep reading to learn more.
Given numbers are 878,824,600,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 878,824,600,538 is 7298023800.
Find LCM of 878,824,600,538 with Prime Factorization
| 2 | 878, 824, 600, 538 |
| 2 | 439, 412, 300, 269 |
| 2 | 439, 206, 150, 269 |
| 439, 103, 75, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 439 x 103 x 75 x 269 = 7298023800
Therefore, the lowest common multiple of 878,824,600,538 is 7298023800.
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.
878 x 824 x 600 x 538 = 233536761600
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.
878 : 1, 2, 439, 878
824 : 1, 2, 4, 8, 103, 206, 412, 824
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
538 : 1, 2, 269, 538
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,824,600,538, is 2.
Now, the common factors can be found like this.
878:2x 439
824:2x 2x 2x 103
600:2x 2x 2x 3x 5x 5
538:2x 269
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 2 = 16
Therefore, the value for common factors is 16.
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 = 233536761600/(2x16)
LCM = 233536761600/32
LCM = 7298023800
Thus, we can understand that the LCM of 878,824,600,538 is 7298023800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 878, 824, 600, 538
1. What is the LCM of 878, 824, 600, 538?
Answer: LCM of 878, 824, 600, 538 is 7298023800.
2. How to calculate the LCM of 878, 824, 600, 538?
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 878, 824, 600, 538.
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}.