LCM of 513, 741, 378, 306, 938
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 741, 378, 306, 938 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 513, 741, 378, 306, 938. So, keep reading to learn more.
Given numbers are 513,741,378,306,938
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,741,378,306,938 is 106343874.
Find LCM of 513,741,378,306,938 with Prime Factorization
| 2 | 513, 741, 378, 306, 938 |
| 3 | 513, 741, 189, 153, 469 |
| 3 | 171, 247, 63, 51, 469 |
| 3 | 57, 247, 21, 17, 469 |
| 7 | 19, 247, 7, 17, 469 |
| 19 | 19, 247, 1, 17, 67 |
| 1, 13, 1, 17, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 19 x 1 x 13 x 1 x 17 x 67 = 106343874
Therefore, the lowest common multiple of 513,741,378,306,938 is 106343874.
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.
513 x 741 x 378 x 306 x 938 = 41243131965672
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
741 : 1, 3, 13, 19, 39, 57, 247, 741
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
938 : 1, 2, 7, 14, 67, 134, 469, 938
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,741,378,306,938, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
741:3x 13x 19
378:2x 3x 3x 3x 7
306:2x 3x 3x 17
938:2x 7x 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 2x 3x 3x 3x 3x 3x 3x 7x 19 = 387828
Therefore, the value for common factors is 387828.
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 = 41243131965672/(1x387828)
LCM = 41243131965672/387828
LCM = 106343874
Thus, we can understand that the LCM of 513,741,378,306,938 is 106343874.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 513, 741, 378, 306, 938
1. What is the LCM of 513, 741, 378, 306, 938?
Answer: LCM of 513, 741, 378, 306, 938 is 106343874.
2. How to calculate the LCM of 513, 741, 378, 306, 938?
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 513, 741, 378, 306, 938.
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}.