LCM of 949, 700, 455, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 949, 700, 455, 923 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 949, 700, 455, 923. So, keep reading to learn more.
Given numbers are 949,700,455,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 949,700,455,923 is 47165300.
Find LCM of 949,700,455,923 with Prime Factorization
| 5 | 949, 700, 455, 923 |
| 7 | 949, 140, 91, 923 |
| 13 | 949, 20, 13, 923 |
| 73, 20, 1, 71 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 13 x 73 x 20 x 1 x 71 = 47165300
Therefore, the lowest common multiple of 949,700,455,923 is 47165300.
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.
949 x 700 x 455 x 923 = 278982749500
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.
949 : 1, 13, 73, 949
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
455 : 1, 5, 7, 13, 35, 65, 91, 455
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,700,455,923, is 1.
Now, the common factors can be found like this.
949:13x 73
700:2x 2x 5x 5x 7
455:5x 7x 13
923:13x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 13x 13 = 5915
Therefore, the value for common factors is 5915.
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 = 278982749500/(1x5915)
LCM = 278982749500/5915
LCM = 47165300
Thus, we can understand that the LCM of 949,700,455,923 is 47165300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 949, 700, 455, 923
1. What is the LCM of 949, 700, 455, 923?
Answer: LCM of 949, 700, 455, 923 is 47165300.
2. How to calculate the LCM of 949, 700, 455, 923?
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 949, 700, 455, 923.
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}.