LCM of 762, 891, 668, 458, 680
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 891, 668, 458, 680 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 762, 891, 668, 458, 680. So, keep reading to learn more.
Given numbers are 762,891,668,458,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,891,668,458,680 is 2942674942680.
Find LCM of 762,891,668,458,680 with Prime Factorization
| 2 | 762, 891, 668, 458, 680 |
| 2 | 381, 891, 334, 229, 340 |
| 3 | 381, 891, 167, 229, 170 |
| 127, 297, 167, 229, 170 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 127 x 297 x 167 x 229 x 170 = 2942674942680
Therefore, the lowest common multiple of 762,891,668,458,680 is 2942674942680.
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.
762 x 891 x 668 x 458 x 680 = 141248397248640
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
668 : 1, 2, 4, 167, 334, 668
458 : 1, 2, 229, 458
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,891,668,458,680, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
891:3x 3x 3x 3x 11
668:2x 2x 167
458:2x 229
680:2x 2x 2x 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 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 141248397248640/(1x48)
LCM = 141248397248640/48
LCM = 2942674942680
Thus, we can understand that the LCM of 762,891,668,458,680 is 2942674942680.
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FAQs on LCM of 762, 891, 668, 458, 680
1. What is the LCM of 762, 891, 668, 458, 680?
Answer: LCM of 762, 891, 668, 458, 680 is 2942674942680.
2. How to calculate the LCM of 762, 891, 668, 458, 680?
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 762, 891, 668, 458, 680.
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}.