LCM of 191, 341, 310, 842
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 191, 341, 310, 842 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 191, 341, 310, 842. So, keep reading to learn more.
Given numbers are 191,341,310,842
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 191,341,310,842 is 274201510.
Find LCM of 191,341,310,842 with Prime Factorization
| 2 | 191, 341, 310, 842 |
| 31 | 191, 341, 155, 421 |
| 191, 11, 5, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 191 x 11 x 5 x 421 = 274201510
Therefore, the lowest common multiple of 191,341,310,842 is 274201510.
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.
191 x 341 x 310 x 842 = 17000493620
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.
191 : 1, 191
341 : 1, 11, 31, 341
310 : 1, 2, 5, 10, 31, 62, 155, 310
842 : 1, 2, 421, 842
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 191,341,310,842, is 1.
Now, the common factors can be found like this.
191:191
341:11x 31
310:2x 5x 31
842:2x 421
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 31 = 62
Therefore, the value for common factors is 62.
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 = 17000493620/(1x62)
LCM = 17000493620/62
LCM = 274201510
Thus, we can understand that the LCM of 191,341,310,842 is 274201510.
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FAQs on LCM of 191, 341, 310, 842
1. What is the LCM of 191, 341, 310, 842?
Answer: LCM of 191, 341, 310, 842 is 274201510.
2. How to calculate the LCM of 191, 341, 310, 842?
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 191, 341, 310, 842.
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}.