LCM of 967, 765, 882, 882, 509
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 967, 765, 882, 882, 509 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 967, 765, 882, 882, 509. So, keep reading to learn more.
Given numbers are 967,765,882,882,509
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,765,882,882,509 is 36900458910.
Find LCM of 967,765,882,882,509 with Prime Factorization
| 2 | 967, 765, 882, 882, 509 |
| 3 | 967, 765, 441, 441, 509 |
| 3 | 967, 255, 147, 147, 509 |
| 7 | 967, 85, 49, 49, 509 |
| 7 | 967, 85, 7, 7, 509 |
| 967, 85, 1, 1, 509 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 7 x 967 x 85 x 1 x 1 x 509 = 36900458910
Therefore, the lowest common multiple of 967,765,882,882,509 is 36900458910.
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.
967 x 765 x 882 x 882 x 509 = 292915842827580
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.
967 : 1, 967
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
509 : 1, 509
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,765,882,882,509, is 1.
Now, the common factors can be found like this.
967:967
765:3x 3x 5x 17
882:2x 3x 3x 7x 7
882:2x 3x 3x 7x 7
509:509
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 3x 7x 7 = 7938
Therefore, the value for common factors is 7938.
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 = 292915842827580/(1x7938)
LCM = 292915842827580/7938
LCM = 36900458910
Thus, we can understand that the LCM of 967,765,882,882,509 is 36900458910.
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FAQs on LCM of 967, 765, 882, 882, 509
1. What is the LCM of 967, 765, 882, 882, 509?
Answer: LCM of 967, 765, 882, 882, 509 is 36900458910.
2. How to calculate the LCM of 967, 765, 882, 882, 509?
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 967, 765, 882, 882, 509.
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}.