LCM of 690, 676, 306, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 690, 676, 306, 765 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 690, 676, 306, 765. So, keep reading to learn more.
Given numbers are 690,676,306,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 690,676,306,765 is 11894220.
Find LCM of 690,676,306,765 with Prime Factorization
| 2 | 690, 676, 306, 765 |
| 3 | 345, 338, 153, 765 |
| 3 | 115, 338, 51, 255 |
| 5 | 115, 338, 17, 85 |
| 17 | 23, 338, 17, 17 |
| 23, 338, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 17 x 23 x 338 x 1 x 1 = 11894220
Therefore, the lowest common multiple of 690,676,306,765 is 11894220.
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.
690 x 676 x 306 x 765 = 109188939600
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.
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,676,306,765, is 1.
Now, the common factors can be found like this.
690:2x 3x 5x 23
676:2x 2x 13x 13
306:2x 3x 3x 17
765:3x 3x 5x 17
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 3x 3x 3x 5x 17 = 9180
Therefore, the value for common factors is 9180.
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 = 109188939600/(1x9180)
LCM = 109188939600/9180
LCM = 11894220
Thus, we can understand that the LCM of 690,676,306,765 is 11894220.
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FAQs on LCM of 690, 676, 306, 765
1. What is the LCM of 690, 676, 306, 765?
Answer: LCM of 690, 676, 306, 765 is 11894220.
2. How to calculate the LCM of 690, 676, 306, 765?
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 690, 676, 306, 765.
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}.