LCM of 739, 932, 266, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 739, 932, 266, 380 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 739, 932, 266, 380. So, keep reading to learn more.
Given numbers are 739,932,266,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 739,932,266,380 is 458017420.
Find LCM of 739,932,266,380 with Prime Factorization
| 2 | 739, 932, 266, 380 |
| 2 | 739, 466, 133, 190 |
| 19 | 739, 233, 133, 95 |
| 739, 233, 7, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 739 x 233 x 7 x 5 = 458017420
Therefore, the lowest common multiple of 739,932,266,380 is 458017420.
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.
739 x 932 x 266 x 380 = 69618647840
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.
739 : 1, 739
932 : 1, 2, 4, 233, 466, 932
266 : 1, 2, 7, 14, 19, 38, 133, 266
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,932,266,380, is 1.
Now, the common factors can be found like this.
739:739
932:2x 2x 233
266:2x 7x 19
380:2x 2x 5x 19
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 19 = 152
Therefore, the value for common factors is 152.
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 = 69618647840/(1x152)
LCM = 69618647840/152
LCM = 458017420
Thus, we can understand that the LCM of 739,932,266,380 is 458017420.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 739, 932, 266, 380
1. What is the LCM of 739, 932, 266, 380?
Answer: LCM of 739, 932, 266, 380 is 458017420.
2. How to calculate the LCM of 739, 932, 266, 380?
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 739, 932, 266, 380.
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}.