LCM of 938, 429, 871, 410
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 938, 429, 871, 410 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 938, 429, 871, 410. So, keep reading to learn more.
Given numbers are 938,429,871,410
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 938,429,871,410 is 82492410.
Find LCM of 938,429,871,410 with Prime Factorization
| 2 | 938, 429, 871, 410 |
| 13 | 469, 429, 871, 205 |
| 67 | 469, 33, 67, 205 |
| 7, 33, 1, 205 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 67 x 7 x 33 x 1 x 205 = 82492410
Therefore, the lowest common multiple of 938,429,871,410 is 82492410.
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.
938 x 429 x 871 x 410 = 143701778220
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.
938 : 1, 2, 7, 14, 67, 134, 469, 938
429 : 1, 3, 11, 13, 33, 39, 143, 429
871 : 1, 13, 67, 871
410 : 1, 2, 5, 10, 41, 82, 205, 410
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 938,429,871,410, is 1.
Now, the common factors can be found like this.
938:2x 7x 67
429:3x 11x 13
871:13x 67
410:2x 5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 67 = 1742
Therefore, the value for common factors is 1742.
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 = 143701778220/(1x1742)
LCM = 143701778220/1742
LCM = 82492410
Thus, we can understand that the LCM of 938,429,871,410 is 82492410.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 938, 429, 871, 410
1. What is the LCM of 938, 429, 871, 410?
Answer: LCM of 938, 429, 871, 410 is 82492410.
2. How to calculate the LCM of 938, 429, 871, 410?
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 938, 429, 871, 410.
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}.