LCM of 234, 195, 998, 767
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 234, 195, 998, 767 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 234, 195, 998, 767. So, keep reading to learn more.
Given numbers are 234,195,998,767
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,195,998,767 is 34445970.
Find LCM of 234,195,998,767 with Prime Factorization
| 2 | 234, 195, 998, 767 |
| 3 | 117, 195, 499, 767 |
| 13 | 39, 65, 499, 767 |
| 3, 5, 499, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 3 x 5 x 499 x 59 = 34445970
Therefore, the lowest common multiple of 234,195,998,767 is 34445970.
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.
234 x 195 x 998 x 767 = 34928213580
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.
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
195 : 1, 3, 5, 13, 15, 39, 65, 195
998 : 1, 2, 499, 998
767 : 1, 13, 59, 767
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,195,998,767, is 1.
Now, the common factors can be found like this.
234:2x 3x 3x 13
195:3x 5x 13
998:2x 499
767:13x 59
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 13x 13 = 1014
Therefore, the value for common factors is 1014.
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 = 34928213580/(1x1014)
LCM = 34928213580/1014
LCM = 34445970
Thus, we can understand that the LCM of 234,195,998,767 is 34445970.
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FAQs on LCM of 234, 195, 998, 767
1. What is the LCM of 234, 195, 998, 767?
Answer: LCM of 234, 195, 998, 767 is 34445970.
2. How to calculate the LCM of 234, 195, 998, 767?
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 234, 195, 998, 767.
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}.