LCM of 932, 428, 456, 868, 297
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 932, 428, 456, 868, 297 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, 428, 456, 868, 297. So, keep reading to learn more.
Given numbers are 932,428,456,868,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,428,456,868,297 is 244230258888.
Find LCM of 932,428,456,868,297 with Prime Factorization
| 2 | 932, 428, 456, 868, 297 |
| 2 | 466, 214, 228, 434, 297 |
| 3 | 233, 107, 114, 217, 297 |
| 233, 107, 38, 217, 99 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 233 x 107 x 38 x 217 x 99 = 244230258888
Therefore, the lowest common multiple of 932,428,456,868,297 is 244230258888.
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 428 x 456 x 868 x 297 = 46892209706496
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
428 : 1, 2, 4, 107, 214, 428
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,428,456,868,297, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
428:2x 2x 107
456:2x 2x 2x 3x 19
868:2x 2x 7x 31
297:3x 3x 3x 11
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 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 46892209706496/(1x192)
LCM = 46892209706496/192
LCM = 244230258888
Thus, we can understand that the LCM of 932,428,456,868,297 is 244230258888.
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FAQs on LCM of 932, 428, 456, 868, 297
1. What is the LCM of 932, 428, 456, 868, 297?
Answer: LCM of 932, 428, 456, 868, 297 is 244230258888.
2. How to calculate the LCM of 932, 428, 456, 868, 297?
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, 428, 456, 868, 297.
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}.