LCM of 680, 281, 839, 923, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 680, 281, 839, 923, 902 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 680, 281, 839, 923, 902. So, keep reading to learn more.
Given numbers are 680,281,839,923,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 680,281,839,923,902 is 66735272220760.
Find LCM of 680,281,839,923,902 with Prime Factorization
| 2 | 680, 281, 839, 923, 902 |
| 340, 281, 839, 923, 451 |
Multiply the prime numbers at the bottom and the left side.
2 x 340 x 281 x 839 x 923 x 451 = 66735272220760
Therefore, the lowest common multiple of 680,281,839,923,902 is 66735272220760.
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.
680 x 281 x 839 x 923 x 902 = 133470544441520
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.
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
281 : 1, 281
839 : 1, 839
923 : 1, 13, 71, 923
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,281,839,923,902, is 1.
Now, the common factors can be found like this.
680:2x 2x 2x 5x 17
281:281
839:839
923:13x 71
902:2x 11x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 133470544441520/(1x2)
LCM = 133470544441520/2
LCM = 66735272220760
Thus, we can understand that the LCM of 680,281,839,923,902 is 66735272220760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 680, 281, 839, 923, 902
1. What is the LCM of 680, 281, 839, 923, 902?
Answer: LCM of 680, 281, 839, 923, 902 is 66735272220760.
2. How to calculate the LCM of 680, 281, 839, 923, 902?
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 680, 281, 839, 923, 902.
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}.