LCM of 748, 731, 363, 929
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 748, 731, 363, 929 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 748, 731, 363, 929. So, keep reading to learn more.
Given numbers are 748,731,363,929
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,731,363,929 is 986051748.
Find LCM of 748,731,363,929 with Prime Factorization
| 11 | 748, 731, 363, 929 |
| 17 | 68, 731, 33, 929 |
| 4, 43, 33, 929 |
Multiply the prime numbers at the bottom and the left side.
11 x 17 x 4 x 43 x 33 x 929 = 986051748
Therefore, the lowest common multiple of 748,731,363,929 is 986051748.
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.
748 x 731 x 363 x 929 = 184391676876
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
731 : 1, 17, 43, 731
363 : 1, 3, 11, 33, 121, 363
929 : 1, 929
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,731,363,929, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
731:17x 43
363:3x 11x 11
929:929
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 17 = 187
Therefore, the value for common factors is 187.
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 = 184391676876/(1x187)
LCM = 184391676876/187
LCM = 986051748
Thus, we can understand that the LCM of 748,731,363,929 is 986051748.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 748, 731, 363, 929
1. What is the LCM of 748, 731, 363, 929?
Answer: LCM of 748, 731, 363, 929 is 986051748.
2. How to calculate the LCM of 748, 731, 363, 929?
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 748, 731, 363, 929.
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}.