LCM of 156, 114, 826, 266, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 156, 114, 826, 266, 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 156, 114, 826, 266, 923. So, keep reading to learn more.
Given numbers are 156,114,826,266,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 156,114,826,266,923 is 86913372.
Find LCM of 156,114,826,266,923 with Prime Factorization
| 2 | 156, 114, 826, 266, 923 |
| 3 | 78, 57, 413, 133, 923 |
| 7 | 26, 19, 413, 133, 923 |
| 13 | 26, 19, 59, 19, 923 |
| 19 | 2, 19, 59, 19, 71 |
| 2, 1, 59, 1, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 19 x 2 x 1 x 59 x 1 x 71 = 86913372
Therefore, the lowest common multiple of 156,114,826,266,923 is 86913372.
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.
156 x 114 x 826 x 266 x 923 = 3606557284512
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.
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
114 : 1, 2, 3, 6, 19, 38, 57, 114
826 : 1, 2, 7, 14, 59, 118, 413, 826
266 : 1, 2, 7, 14, 19, 38, 133, 266
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 156,114,826,266,923, is 1.
Now, the common factors can be found like this.
156:2x 2x 3x 13
114:2x 3x 19
826:2x 7x 59
266:2x 7x 19
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.
2x 2x 2x 3x 7x 13x 19 = 41496
Therefore, the value for common factors is 41496.
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 = 3606557284512/(1x41496)
LCM = 3606557284512/41496
LCM = 86913372
Thus, we can understand that the LCM of 156,114,826,266,923 is 86913372.
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FAQs on LCM of 156, 114, 826, 266, 923
1. What is the LCM of 156, 114, 826, 266, 923?
Answer: LCM of 156, 114, 826, 266, 923 is 86913372.
2. How to calculate the LCM of 156, 114, 826, 266, 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 156, 114, 826, 266, 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}.