LCM of 950, 458, 538, 561, 269
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 950, 458, 538, 561, 269 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 950, 458, 538, 561, 269. So, keep reading to learn more.
Given numbers are 950,458,538,561,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 950,458,538,561,269 is 32830252950.
Find LCM of 950,458,538,561,269 with Prime Factorization
| 2 | 950, 458, 538, 561, 269 |
| 269 | 475, 229, 269, 561, 269 |
| 475, 229, 1, 561, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 269 x 475 x 229 x 1 x 561 x 1 = 32830252950
Therefore, the lowest common multiple of 950,458,538,561,269 is 32830252950.
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.
950 x 458 x 538 x 561 x 269 = 35325352174200
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.
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
458 : 1, 2, 229, 458
538 : 1, 2, 269, 538
561 : 1, 3, 11, 17, 33, 51, 187, 561
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,458,538,561,269, is 1.
Now, the common factors can be found like this.
950:2x 5x 5x 19
458:2x 229
538:2x 269
561:3x 11x 17
269:269
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 269 = 1076
Therefore, the value for common factors is 1076.
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 = 35325352174200/(1x1076)
LCM = 35325352174200/1076
LCM = 32830252950
Thus, we can understand that the LCM of 950,458,538,561,269 is 32830252950.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 950, 458, 538, 561, 269
1. What is the LCM of 950, 458, 538, 561, 269?
Answer: LCM of 950, 458, 538, 561, 269 is 32830252950.
2. How to calculate the LCM of 950, 458, 538, 561, 269?
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 950, 458, 538, 561, 269.
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}.