LCM of 116, 274, 341, 464, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 116, 274, 341, 464, 506 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, 274, 341, 464, 506. So, keep reading to learn more.
Given numbers are 116,274,341,464,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 116,274,341,464,506 is 498563824.
Find LCM of 116,274,341,464,506 with Prime Factorization
| 2 | 116, 274, 341, 464, 506 |
| 2 | 58, 137, 341, 232, 253 |
| 11 | 29, 137, 341, 116, 253 |
| 29 | 29, 137, 31, 116, 23 |
| 1, 137, 31, 4, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 29 x 1 x 137 x 31 x 4 x 23 = 498563824
Therefore, the lowest common multiple of 116,274,341,464,506 is 498563824.
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 274 x 341 x 464 x 506 = 2544669757696
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
274 : 1, 2, 137, 274
341 : 1, 11, 31, 341
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,274,341,464,506, is 1.
Now, the common factors can be found like this.
116:2x 2x 29
274:2x 137
341:11x 31
464:2x 2x 2x 2x 29
506:2x 11x 23
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 2x 2x 11x 29 = 5104
Therefore, the value for common factors is 5104.
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 = 2544669757696/(1x5104)
LCM = 2544669757696/5104
LCM = 498563824
Thus, we can understand that the LCM of 116,274,341,464,506 is 498563824.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 116, 274, 341, 464, 506
1. What is the LCM of 116, 274, 341, 464, 506?
Answer: LCM of 116, 274, 341, 464, 506 is 498563824.
2. How to calculate the LCM of 116, 274, 341, 464, 506?
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, 274, 341, 464, 506.
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}.