LCM of 302, 858, 845, 561, 397
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 302, 858, 845, 561, 397 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 302, 858, 845, 561, 397. So, keep reading to learn more.
Given numbers are 302,858,845,561,397
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,858,845,561,397 is 56835151230.
Find LCM of 302,858,845,561,397 with Prime Factorization
| 2 | 302, 858, 845, 561, 397 |
| 3 | 151, 429, 845, 561, 397 |
| 11 | 151, 143, 845, 187, 397 |
| 13 | 151, 13, 845, 17, 397 |
| 151, 1, 65, 17, 397 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 151 x 1 x 65 x 17 x 397 = 56835151230
Therefore, the lowest common multiple of 302,858,845,561,397 is 56835151230.
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.
302 x 858 x 845 x 561 x 397 = 48764559755340
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.
302 : 1, 2, 151, 302
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
845 : 1, 5, 13, 65, 169, 845
561 : 1, 3, 11, 17, 33, 51, 187, 561
397 : 1, 397
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,858,845,561,397, is 1.
Now, the common factors can be found like this.
302:2x 151
858:2x 3x 11x 13
845:5x 13x 13
561:3x 11x 17
397:397
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 11x 13 = 858
Therefore, the value for common factors is 858.
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 = 48764559755340/(1x858)
LCM = 48764559755340/858
LCM = 56835151230
Thus, we can understand that the LCM of 302,858,845,561,397 is 56835151230.
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FAQs on LCM of 302, 858, 845, 561, 397
1. What is the LCM of 302, 858, 845, 561, 397?
Answer: LCM of 302, 858, 845, 561, 397 is 56835151230.
2. How to calculate the LCM of 302, 858, 845, 561, 397?
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 302, 858, 845, 561, 397.
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}.