LCM of 378, 477, 713, 858, 930
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 378, 477, 713, 858, 930 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 378, 477, 713, 858, 930. So, keep reading to learn more.
Given numbers are 378,477,713,858,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 378,477,713,858,930 is 10213233030.
Find LCM of 378,477,713,858,930 with Prime Factorization
| 2 | 378, 477, 713, 858, 930 |
| 3 | 189, 477, 713, 429, 465 |
| 3 | 63, 159, 713, 143, 155 |
| 31 | 21, 53, 713, 143, 155 |
| 21, 53, 23, 143, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 31 x 21 x 53 x 23 x 143 x 5 = 10213233030
Therefore, the lowest common multiple of 378,477,713,858,930 is 10213233030.
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.
378 x 477 x 713 x 858 x 930 = 102581712553320
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.
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
477 : 1, 3, 9, 53, 159, 477
713 : 1, 23, 31, 713
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,477,713,858,930, is 1.
Now, the common factors can be found like this.
378:2x 3x 3x 3x 7
477:3x 3x 53
713:23x 31
858:2x 3x 11x 13
930:2x 3x 5x 31
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 3x 3x 3x 3x 31 = 10044
Therefore, the value for common factors is 10044.
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 = 102581712553320/(1x10044)
LCM = 102581712553320/10044
LCM = 10213233030
Thus, we can understand that the LCM of 378,477,713,858,930 is 10213233030.
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FAQs on LCM of 378, 477, 713, 858, 930
1. What is the LCM of 378, 477, 713, 858, 930?
Answer: LCM of 378, 477, 713, 858, 930 is 10213233030.
2. How to calculate the LCM of 378, 477, 713, 858, 930?
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 378, 477, 713, 858, 930.
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}.