LCM of 731, 287, 861, 253
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 731, 287, 861, 253 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 731, 287, 861, 253. So, keep reading to learn more.
Given numbers are 731,287,861,253
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,287,861,253 is 159235923.
Find LCM of 731,287,861,253 with Prime Factorization
| 7 | 731, 287, 861, 253 |
| 41 | 731, 41, 123, 253 |
| 731, 1, 3, 253 |
Multiply the prime numbers at the bottom and the left side.
7 x 41 x 731 x 1 x 3 x 253 = 159235923
Therefore, the lowest common multiple of 731,287,861,253 is 159235923.
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.
731 x 287 x 861 x 253 = 45700709901
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.
731 : 1, 17, 43, 731
287 : 1, 7, 41, 287
861 : 1, 3, 7, 21, 41, 123, 287, 861
253 : 1, 11, 23, 253
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,287,861,253, is 1.
Now, the common factors can be found like this.
731:17x 43
287:7x 41
861:3x 7x 41
253:11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 41 = 287
Therefore, the value for common factors is 287.
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 = 45700709901/(1x287)
LCM = 45700709901/287
LCM = 159235923
Thus, we can understand that the LCM of 731,287,861,253 is 159235923.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 731, 287, 861, 253
1. What is the LCM of 731, 287, 861, 253?
Answer: LCM of 731, 287, 861, 253 is 159235923.
2. How to calculate the LCM of 731, 287, 861, 253?
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 731, 287, 861, 253.
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}.