LCM of 194, 458, 350, 262, 591
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 194, 458, 350, 262, 591 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 194, 458, 350, 262, 591. So, keep reading to learn more.
Given numbers are 194,458,350,262,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 194,458,350,262,591 is 601913435550.
Find LCM of 194,458,350,262,591 with Prime Factorization
| 2 | 194, 458, 350, 262, 591 |
| 97, 229, 175, 131, 591 |
Multiply the prime numbers at the bottom and the left side.
2 x 97 x 229 x 175 x 131 x 591 = 601913435550
Therefore, the lowest common multiple of 194,458,350,262,591 is 601913435550.
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.
194 x 458 x 350 x 262 x 591 = 4815307484400
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.
194 : 1, 2, 97, 194
458 : 1, 2, 229, 458
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
262 : 1, 2, 131, 262
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 194,458,350,262,591, is 1.
Now, the common factors can be found like this.
194:2x 97
458:2x 229
350:2x 5x 5x 7
262:2x 131
591:3x 197
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 2 = 8
Therefore, the value for common factors is 8.
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 = 4815307484400/(1x8)
LCM = 4815307484400/8
LCM = 601913435550
Thus, we can understand that the LCM of 194,458,350,262,591 is 601913435550.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 194, 458, 350, 262, 591
1. What is the LCM of 194, 458, 350, 262, 591?
Answer: LCM of 194, 458, 350, 262, 591 is 601913435550.
2. How to calculate the LCM of 194, 458, 350, 262, 591?
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 194, 458, 350, 262, 591.
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}.