LCM of 378, 312, 715, 638
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 378, 312, 715, 638 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, 312, 715, 638. So, keep reading to learn more.
Given numbers are 378,312,715,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 378,312,715,638 is 31351320.
Find LCM of 378,312,715,638 with Prime Factorization
| 2 | 378, 312, 715, 638 |
| 3 | 189, 156, 715, 319 |
| 11 | 63, 52, 715, 319 |
| 13 | 63, 52, 65, 29 |
| 63, 4, 5, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 63 x 4 x 5 x 29 = 31351320
Therefore, the lowest common multiple of 378,312,715,638 is 31351320.
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 312 x 715 x 638 = 53798865120
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
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
715 : 1, 5, 11, 13, 55, 65, 143, 715
638 : 1, 2, 11, 22, 29, 58, 319, 638
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,312,715,638, is 1.
Now, the common factors can be found like this.
378:2x 3x 3x 3x 7
312:2x 2x 2x 3x 13
715:5x 11x 13
638:2x 11x 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 3x 11x 13 = 1716
Therefore, the value for common factors is 1716.
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 = 53798865120/(1x1716)
LCM = 53798865120/1716
LCM = 31351320
Thus, we can understand that the LCM of 378,312,715,638 is 31351320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 378, 312, 715, 638
1. What is the LCM of 378, 312, 715, 638?
Answer: LCM of 378, 312, 715, 638 is 31351320.
2. How to calculate the LCM of 378, 312, 715, 638?
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, 312, 715, 638.
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}.