LCM of 932, 496, 141, 561, 341
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 932, 496, 141, 561, 341 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 932, 496, 141, 561, 341. So, keep reading to learn more.
Given numbers are 932,496,141,561,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,496,141,561,341 is 3047181456.
Find LCM of 932,496,141,561,341 with Prime Factorization
| 2 | 932, 496, 141, 561, 341 |
| 2 | 466, 248, 141, 561, 341 |
| 3 | 233, 124, 141, 561, 341 |
| 11 | 233, 124, 47, 187, 341 |
| 31 | 233, 124, 47, 17, 31 |
| 233, 4, 47, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 31 x 233 x 4 x 47 x 17 x 1 = 3047181456
Therefore, the lowest common multiple of 932,496,141,561,341 is 3047181456.
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.
932 x 496 x 141 x 561 x 341 = 12469066517952
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.
932 : 1, 2, 4, 233, 466, 932
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
141 : 1, 3, 47, 141
561 : 1, 3, 11, 17, 33, 51, 187, 561
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,496,141,561,341, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
496:2x 2x 2x 2x 31
141:3x 47
561:3x 11x 17
341:11x 31
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 3x 11x 31 = 4092
Therefore, the value for common factors is 4092.
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 = 12469066517952/(1x4092)
LCM = 12469066517952/4092
LCM = 3047181456
Thus, we can understand that the LCM of 932,496,141,561,341 is 3047181456.
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FAQs on LCM of 932, 496, 141, 561, 341
1. What is the LCM of 932, 496, 141, 561, 341?
Answer: LCM of 932, 496, 141, 561, 341 is 3047181456.
2. How to calculate the LCM of 932, 496, 141, 561, 341?
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 932, 496, 141, 561, 341.
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}.