LCM of 867, 626, 281, 253, 843
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 626, 281, 253, 843 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 867, 626, 281, 253, 843. So, keep reading to learn more.
Given numbers are 867,626,281,253,843
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,626,281,253,843 is 38585157006.
Find LCM of 867,626,281,253,843 with Prime Factorization
| 3 | 867, 626, 281, 253, 843 |
| 281 | 289, 626, 281, 253, 281 |
| 289, 626, 1, 253, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 281 x 289 x 626 x 1 x 253 x 1 = 38585157006
Therefore, the lowest common multiple of 867,626,281,253,843 is 38585157006.
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.
867 x 626 x 281 x 253 x 843 = 32527287356058
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.
867 : 1, 3, 17, 51, 289, 867
626 : 1, 2, 313, 626
281 : 1, 281
253 : 1, 11, 23, 253
843 : 1, 3, 281, 843
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,626,281,253,843, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
626:2x 313
281:281
253:11x 23
843:3x 281
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 281 = 843
Therefore, the value for common factors is 843.
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 = 32527287356058/(1x843)
LCM = 32527287356058/843
LCM = 38585157006
Thus, we can understand that the LCM of 867,626,281,253,843 is 38585157006.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 867, 626, 281, 253, 843
1. What is the LCM of 867, 626, 281, 253, 843?
Answer: LCM of 867, 626, 281, 253, 843 is 38585157006.
2. How to calculate the LCM of 867, 626, 281, 253, 843?
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 867, 626, 281, 253, 843.
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}.