LCM of 825, 203, 283, 875, 508
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 825, 203, 283, 875, 508 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 825, 203, 283, 875, 508. So, keep reading to learn more.
Given numbers are 825,203,283,875,508
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,203,283,875,508 is 120384379500.
Find LCM of 825,203,283,875,508 with Prime Factorization
| 5 | 825, 203, 283, 875, 508 |
| 5 | 165, 203, 283, 175, 508 |
| 7 | 33, 203, 283, 35, 508 |
| 33, 29, 283, 5, 508 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 7 x 33 x 29 x 283 x 5 x 508 = 120384379500
Therefore, the lowest common multiple of 825,203,283,875,508 is 120384379500.
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.
825 x 203 x 283 x 875 x 508 = 21067266412500
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
203 : 1, 7, 29, 203
283 : 1, 283
875 : 1, 5, 7, 25, 35, 125, 175, 875
508 : 1, 2, 4, 127, 254, 508
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,203,283,875,508, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
203:7x 29
283:283
875:5x 5x 5x 7
508:2x 2x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 7 = 175
Therefore, the value for common factors is 175.
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 = 21067266412500/(1x175)
LCM = 21067266412500/175
LCM = 120384379500
Thus, we can understand that the LCM of 825,203,283,875,508 is 120384379500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 825, 203, 283, 875, 508
1. What is the LCM of 825, 203, 283, 875, 508?
Answer: LCM of 825, 203, 283, 875, 508 is 120384379500.
2. How to calculate the LCM of 825, 203, 283, 875, 508?
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 825, 203, 283, 875, 508.
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}.