LCM of 378, 902, 686, 531
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 378, 902, 686, 531 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, 902, 686, 531. So, keep reading to learn more.
Given numbers are 378,902,686,531
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 378,902,686,531 is 492851898.
Find LCM of 378,902,686,531 with Prime Factorization
| 2 | 378, 902, 686, 531 |
| 3 | 189, 451, 343, 531 |
| 3 | 63, 451, 343, 177 |
| 7 | 21, 451, 343, 59 |
| 3, 451, 49, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 3 x 451 x 49 x 59 = 492851898
Therefore, the lowest common multiple of 378,902,686,531 is 492851898.
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 902 x 686 x 531 = 124198678296
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
902 : 1, 2, 11, 22, 41, 82, 451, 902
686 : 1, 2, 7, 14, 49, 98, 343, 686
531 : 1, 3, 9, 59, 177, 531
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,902,686,531, is 1.
Now, the common factors can be found like this.
378:2x 3x 3x 3x 7
902:2x 11x 41
686:2x 7x 7x 7
531:3x 3x 59
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 7 = 252
Therefore, the value for common factors is 252.
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 = 124198678296/(1x252)
LCM = 124198678296/252
LCM = 492851898
Thus, we can understand that the LCM of 378,902,686,531 is 492851898.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 378, 902, 686, 531
1. What is the LCM of 378, 902, 686, 531?
Answer: LCM of 378, 902, 686, 531 is 492851898.
2. How to calculate the LCM of 378, 902, 686, 531?
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, 902, 686, 531.
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}.