LCM of 476, 948, 378, 812
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 476, 948, 378, 812 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 476, 948, 378, 812. So, keep reading to learn more.
Given numbers are 476,948,378,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 476,948,378,812 is 29443932.
Find LCM of 476,948,378,812 with Prime Factorization
| 2 | 476, 948, 378, 812 |
| 2 | 238, 474, 189, 406 |
| 3 | 119, 237, 189, 203 |
| 7 | 119, 79, 63, 203 |
| 17, 79, 9, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 17 x 79 x 9 x 29 = 29443932
Therefore, the lowest common multiple of 476,948,378,812 is 29443932.
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.
476 x 948 x 378 x 812 = 138504256128
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.
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,948,378,812, is 2.
Now, the common factors can be found like this.
476:2x 2x 7x 17
948:2x 2x 3x 79
378:2x 3x 3x 3x 7
812:2x 2x 7x 29
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 3x 7x 7 = 2352
Therefore, the value for common factors is 2352.
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 = 138504256128/(2x2352)
LCM = 138504256128/4704
LCM = 29443932
Thus, we can understand that the LCM of 476,948,378,812 is 29443932.
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FAQs on LCM of 476, 948, 378, 812
1. What is the LCM of 476, 948, 378, 812?
Answer: LCM of 476, 948, 378, 812 is 29443932.
2. How to calculate the LCM of 476, 948, 378, 812?
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 476, 948, 378, 812.
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}.