LCM of 668, 338, 680, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 668, 338, 680, 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 668, 338, 680, 765. So, keep reading to learn more.
Given numbers are 668,338,680,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,338,680,765 is 172724760.
Find LCM of 668,338,680,765 with Prime Factorization
| 2 | 668, 338, 680, 765 |
| 2 | 334, 169, 340, 765 |
| 5 | 167, 169, 170, 765 |
| 17 | 167, 169, 34, 153 |
| 167, 169, 2, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 167 x 169 x 2 x 9 = 172724760
Therefore, the lowest common multiple of 668,338,680,765 is 172724760.
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.
668 x 338 x 680 x 765 = 117452836800
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.
668 : 1, 2, 4, 167, 334, 668
338 : 1, 2, 13, 26, 169, 338
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
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 668,338,680,765, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
338:2x 13x 13
680:2x 2x 2x 5x 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 2x 5x 17 = 680
Therefore, the value for common factors is 680.
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 = 117452836800/(1x680)
LCM = 117452836800/680
LCM = 172724760
Thus, we can understand that the LCM of 668,338,680,765 is 172724760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 668, 338, 680, 765
1. What is the LCM of 668, 338, 680, 765?
Answer: LCM of 668, 338, 680, 765 is 172724760.
2. How to calculate the LCM of 668, 338, 680, 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 668, 338, 680, 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}.