LCM of 731, 782, 276, 291
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 731, 782, 276, 291 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, 782, 276, 291. So, keep reading to learn more.
Given numbers are 731,782,276,291
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,782,276,291 is 19570332.
Find LCM of 731,782,276,291 with Prime Factorization
| 2 | 731, 782, 276, 291 |
| 3 | 731, 391, 138, 291 |
| 17 | 731, 391, 46, 97 |
| 23 | 43, 23, 46, 97 |
| 43, 1, 2, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 23 x 43 x 1 x 2 x 97 = 19570332
Therefore, the lowest common multiple of 731,782,276,291 is 19570332.
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 782 x 276 x 291 = 45911998872
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
782 : 1, 2, 17, 23, 34, 46, 391, 782
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
291 : 1, 3, 97, 291
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,782,276,291, is 1.
Now, the common factors can be found like this.
731:17x 43
782:2x 17x 23
276:2x 2x 3x 23
291:3x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17x 23 = 2346
Therefore, the value for common factors is 2346.
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 = 45911998872/(1x2346)
LCM = 45911998872/2346
LCM = 19570332
Thus, we can understand that the LCM of 731,782,276,291 is 19570332.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 731, 782, 276, 291
1. What is the LCM of 731, 782, 276, 291?
Answer: LCM of 731, 782, 276, 291 is 19570332.
2. How to calculate the LCM of 731, 782, 276, 291?
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, 782, 276, 291.
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}.