LCM of 867, 418, 135, 770, 707
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 418, 135, 770, 707 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 867, 418, 135, 770, 707. So, keep reading to learn more.
Given numbers are 867,418,135,770,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,418,135,770,707 is 11529946890.
Find LCM of 867,418,135,770,707 with Prime Factorization
| 2 | 867, 418, 135, 770, 707 |
| 3 | 867, 209, 135, 385, 707 |
| 5 | 289, 209, 45, 385, 707 |
| 7 | 289, 209, 9, 77, 707 |
| 11 | 289, 209, 9, 11, 101 |
| 289, 19, 9, 1, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 289 x 19 x 9 x 1 x 101 = 11529946890
Therefore, the lowest common multiple of 867,418,135,770,707 is 11529946890.
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.
867 x 418 x 135 x 770 x 707 = 26634177315900
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.
867 : 1, 3, 17, 51, 289, 867
418 : 1, 2, 11, 19, 22, 38, 209, 418
135 : 1, 3, 5, 9, 15, 27, 45, 135
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,418,135,770,707, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
418:2x 11x 19
135:3x 3x 3x 5
770:2x 5x 7x 11
707:7x 101
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 5x 7x 11 = 2310
Therefore, the value for common factors is 2310.
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 = 26634177315900/(1x2310)
LCM = 26634177315900/2310
LCM = 11529946890
Thus, we can understand that the LCM of 867,418,135,770,707 is 11529946890.
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FAQs on LCM of 867, 418, 135, 770, 707
1. What is the LCM of 867, 418, 135, 770, 707?
Answer: LCM of 867, 418, 135, 770, 707 is 11529946890.
2. How to calculate the LCM of 867, 418, 135, 770, 707?
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 867, 418, 135, 770, 707.
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}.