LCM of 762, 911, 348, 401
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 911, 348, 401 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 762, 911, 348, 401. So, keep reading to learn more.
Given numbers are 762,911,348,401
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,911,348,401 is 16145284956.
Find LCM of 762,911,348,401 with Prime Factorization
| 2 | 762, 911, 348, 401 |
| 3 | 381, 911, 174, 401 |
| 127, 911, 58, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 127 x 911 x 58 x 401 = 16145284956
Therefore, the lowest common multiple of 762,911,348,401 is 16145284956.
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.
762 x 911 x 348 x 401 = 96871709736
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
911 : 1, 911
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
401 : 1, 401
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,911,348,401, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
911:911
348:2x 2x 3x 29
401:401
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 96871709736/(1x6)
LCM = 96871709736/6
LCM = 16145284956
Thus, we can understand that the LCM of 762,911,348,401 is 16145284956.
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FAQs on LCM of 762, 911, 348, 401
1. What is the LCM of 762, 911, 348, 401?
Answer: LCM of 762, 911, 348, 401 is 16145284956.
2. How to calculate the LCM of 762, 911, 348, 401?
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 762, 911, 348, 401.
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}.