LCM of 116, 353, 341, 524
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 116, 353, 341, 524 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 116, 353, 341, 524. So, keep reading to learn more.
Given numbers are 116,353,341,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 116,353,341,524 is 1829188108.
Find LCM of 116,353,341,524 with Prime Factorization
| 2 | 116, 353, 341, 524 |
| 2 | 58, 353, 341, 262 |
| 29, 353, 341, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 353 x 341 x 131 = 1829188108
Therefore, the lowest common multiple of 116,353,341,524 is 1829188108.
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.
116 x 353 x 341 x 524 = 7316752432
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.
116 : 1, 2, 4, 29, 58, 116
353 : 1, 353
341 : 1, 11, 31, 341
524 : 1, 2, 4, 131, 262, 524
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,353,341,524, is 1.
Now, the common factors can be found like this.
116:2x 2x 29
353:353
341:11x 31
524:2x 2x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 7316752432/(1x4)
LCM = 7316752432/4
LCM = 1829188108
Thus, we can understand that the LCM of 116,353,341,524 is 1829188108.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 116, 353, 341, 524
1. What is the LCM of 116, 353, 341, 524?
Answer: LCM of 116, 353, 341, 524 is 1829188108.
2. How to calculate the LCM of 116, 353, 341, 524?
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 116, 353, 341, 524.
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}.