LCM of 474, 469, 939, 134
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 474, 469, 939, 134 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 474, 469, 939, 134. So, keep reading to learn more.
Given numbers are 474,469,939,134
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 474,469,939,134 is 69581778.
Find LCM of 474,469,939,134 with Prime Factorization
| 2 | 474, 469, 939, 134 |
| 3 | 237, 469, 939, 67 |
| 67 | 79, 469, 313, 67 |
| 79, 7, 313, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 67 x 79 x 7 x 313 x 1 = 69581778
Therefore, the lowest common multiple of 474,469,939,134 is 69581778.
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.
474 x 469 x 939 x 134 = 27971874756
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.
474 : 1, 2, 3, 6, 79, 158, 237, 474
469 : 1, 7, 67, 469
939 : 1, 3, 313, 939
134 : 1, 2, 67, 134
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,469,939,134, is 1.
Now, the common factors can be found like this.
474:2x 3x 79
469:7x 67
939:3x 313
134:2x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 67 = 402
Therefore, the value for common factors is 402.
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 = 27971874756/(1x402)
LCM = 27971874756/402
LCM = 69581778
Thus, we can understand that the LCM of 474,469,939,134 is 69581778.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 474, 469, 939, 134
1. What is the LCM of 474, 469, 939, 134?
Answer: LCM of 474, 469, 939, 134 is 69581778.
2. How to calculate the LCM of 474, 469, 939, 134?
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 474, 469, 939, 134.
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}.