LCM of 426, 302, 897, 713, 860
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 426, 302, 897, 713, 860 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 426, 302, 897, 713, 860. So, keep reading to learn more.
Given numbers are 426,302,897,713,860
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 426,302,897,713,860 is 256382208420.
Find LCM of 426,302,897,713,860 with Prime Factorization
| 2 | 426, 302, 897, 713, 860 |
| 3 | 213, 151, 897, 713, 430 |
| 23 | 71, 151, 299, 713, 430 |
| 71, 151, 13, 31, 430 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 71 x 151 x 13 x 31 x 430 = 256382208420
Therefore, the lowest common multiple of 426,302,897,713,860 is 256382208420.
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.
426 x 302 x 897 x 713 x 860 = 70761489523920
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.
426 : 1, 2, 3, 6, 71, 142, 213, 426
302 : 1, 2, 151, 302
897 : 1, 3, 13, 23, 39, 69, 299, 897
713 : 1, 23, 31, 713
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,302,897,713,860, is 1.
Now, the common factors can be found like this.
426:2x 3x 71
302:2x 151
897:3x 13x 23
713:23x 31
860:2x 2x 5x 43
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 3x 23 = 276
Therefore, the value for common factors is 276.
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 = 70761489523920/(1x276)
LCM = 70761489523920/276
LCM = 256382208420
Thus, we can understand that the LCM of 426,302,897,713,860 is 256382208420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 426, 302, 897, 713, 860
1. What is the LCM of 426, 302, 897, 713, 860?
Answer: LCM of 426, 302, 897, 713, 860 is 256382208420.
2. How to calculate the LCM of 426, 302, 897, 713, 860?
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 426, 302, 897, 713, 860.
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}.