LCM of 426, 467, 141, 467, 205
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 426, 467, 141, 467, 205 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, 467, 141, 467, 205. So, keep reading to learn more.
Given numbers are 426,467,141,467,205
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 426,467,141,467,205 is 1916806170.
Find LCM of 426,467,141,467,205 with Prime Factorization
| 3 | 426, 467, 141, 467, 205 |
| 467 | 142, 467, 47, 467, 205 |
| 142, 1, 47, 1, 205 |
Multiply the prime numbers at the bottom and the left side.
3 x 467 x 142 x 1 x 47 x 1 x 205 = 1916806170
Therefore, the lowest common multiple of 426,467,141,467,205 is 1916806170.
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 467 x 141 x 467 x 205 = 2685445444170
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
467 : 1, 467
141 : 1, 3, 47, 141
467 : 1, 467
205 : 1, 5, 41, 205
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,467,141,467,205, is 1.
Now, the common factors can be found like this.
426:2x 3x 71
467:467
141:3x 47
467:467
205:5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 467 = 1401
Therefore, the value for common factors is 1401.
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 = 2685445444170/(1x1401)
LCM = 2685445444170/1401
LCM = 1916806170
Thus, we can understand that the LCM of 426,467,141,467,205 is 1916806170.
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FAQs on LCM of 426, 467, 141, 467, 205
1. What is the LCM of 426, 467, 141, 467, 205?
Answer: LCM of 426, 467, 141, 467, 205 is 1916806170.
2. How to calculate the LCM of 426, 467, 141, 467, 205?
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, 467, 141, 467, 205.
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}.