LCM of 766, 969, 876, 538
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 766, 969, 876, 538 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 766, 969, 876, 538. So, keep reading to learn more.
Given numbers are 766,969,876,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 766,969,876,538 is 29151283596.
Find LCM of 766,969,876,538 with Prime Factorization
| 2 | 766, 969, 876, 538 |
| 3 | 383, 969, 438, 269 |
| 383, 323, 146, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 383 x 323 x 146 x 269 = 29151283596
Therefore, the lowest common multiple of 766,969,876,538 is 29151283596.
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.
766 x 969 x 876 x 538 = 349815403152
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.
766 : 1, 2, 383, 766
969 : 1, 3, 17, 19, 51, 57, 323, 969
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
538 : 1, 2, 269, 538
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,969,876,538, is 1.
Now, the common factors can be found like this.
766:2x 383
969:3x 17x 19
876:2x 2x 3x 73
538:2x 269
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 3 = 12
Therefore, the value for common factors is 12.
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 = 349815403152/(1x12)
LCM = 349815403152/12
LCM = 29151283596
Thus, we can understand that the LCM of 766,969,876,538 is 29151283596.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 766, 969, 876, 538
1. What is the LCM of 766, 969, 876, 538?
Answer: LCM of 766, 969, 876, 538 is 29151283596.
2. How to calculate the LCM of 766, 969, 876, 538?
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 766, 969, 876, 538.
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}.