LCM of 932, 871, 429, 238, 952
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 932, 871, 429, 238, 952 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, 871, 429, 238, 952. So, keep reading to learn more.
Given numbers are 932,871,429,238,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,871,429,238,952 is 6375657288.
Find LCM of 932,871,429,238,952 with Prime Factorization
| 2 | 932, 871, 429, 238, 952 |
| 2 | 466, 871, 429, 119, 476 |
| 7 | 233, 871, 429, 119, 238 |
| 13 | 233, 871, 429, 17, 34 |
| 17 | 233, 67, 33, 17, 34 |
| 233, 67, 33, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 17 x 233 x 67 x 33 x 1 x 2 = 6375657288
Therefore, the lowest common multiple of 932,871,429,238,952 is 6375657288.
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 871 x 429 x 238 x 952 = 78905134596288
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
871 : 1, 13, 67, 871
429 : 1, 3, 11, 13, 33, 39, 143, 429
238 : 1, 2, 7, 14, 17, 34, 119, 238
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,871,429,238,952, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
871:13x 67
429:3x 11x 13
238:2x 7x 17
952:2x 2x 2x 7x 17
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 7x 13x 17 = 12376
Therefore, the value for common factors is 12376.
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 = 78905134596288/(1x12376)
LCM = 78905134596288/12376
LCM = 6375657288
Thus, we can understand that the LCM of 932,871,429,238,952 is 6375657288.
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FAQs on LCM of 932, 871, 429, 238, 952
1. What is the LCM of 932, 871, 429, 238, 952?
Answer: LCM of 932, 871, 429, 238, 952 is 6375657288.
2. How to calculate the LCM of 932, 871, 429, 238, 952?
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, 871, 429, 238, 952.
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}.