LCM of 765, 198, 538, 429
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 198, 538, 429 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 765, 198, 538, 429. So, keep reading to learn more.
Given numbers are 765,198,538,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,198,538,429 is 58854510.
Find LCM of 765,198,538,429 with Prime Factorization
| 2 | 765, 198, 538, 429 |
| 3 | 765, 99, 269, 429 |
| 3 | 255, 33, 269, 143 |
| 11 | 85, 11, 269, 143 |
| 85, 1, 269, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 85 x 1 x 269 x 13 = 58854510
Therefore, the lowest common multiple of 765,198,538,429 is 58854510.
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.
765 x 198 x 538 x 429 = 34959578940
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.
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
538 : 1, 2, 269, 538
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,198,538,429, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
198:2x 3x 3x 11
538:2x 269
429:3x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 11 = 594
Therefore, the value for common factors is 594.
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 = 34959578940/(1x594)
LCM = 34959578940/594
LCM = 58854510
Thus, we can understand that the LCM of 765,198,538,429 is 58854510.
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FAQs on LCM of 765, 198, 538, 429
1. What is the LCM of 765, 198, 538, 429?
Answer: LCM of 765, 198, 538, 429 is 58854510.
2. How to calculate the LCM of 765, 198, 538, 429?
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 765, 198, 538, 429.
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}.