LCM of 835, 290, 918, 364, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 835, 290, 918, 364, 868 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 835, 290, 918, 364, 868. So, keep reading to learn more.
Given numbers are 835,290,918,364,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 835,290,918,364,868 is 125418105540.
Find LCM of 835,290,918,364,868 with Prime Factorization
| 2 | 835, 290, 918, 364, 868 |
| 2 | 835, 145, 459, 182, 434 |
| 5 | 835, 145, 459, 91, 217 |
| 7 | 167, 29, 459, 91, 217 |
| 167, 29, 459, 13, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 167 x 29 x 459 x 13 x 31 = 125418105540
Therefore, the lowest common multiple of 835,290,918,364,868 is 125418105540.
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.
835 x 290 x 918 x 364 x 868 = 70234139102400
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.
835 : 1, 5, 167, 835
290 : 1, 2, 5, 10, 29, 58, 145, 290
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,290,918,364,868, is 1.
Now, the common factors can be found like this.
835:5x 167
290:2x 5x 29
918:2x 3x 3x 3x 17
364:2x 2x 7x 13
868:2x 2x 7x 31
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 5x 7 = 560
Therefore, the value for common factors is 560.
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 = 70234139102400/(1x560)
LCM = 70234139102400/560
LCM = 125418105540
Thus, we can understand that the LCM of 835,290,918,364,868 is 125418105540.
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FAQs on LCM of 835, 290, 918, 364, 868
1. What is the LCM of 835, 290, 918, 364, 868?
Answer: LCM of 835, 290, 918, 364, 868 is 125418105540.
2. How to calculate the LCM of 835, 290, 918, 364, 868?
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 835, 290, 918, 364, 868.
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}.