LCM of 378, 539, 788, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 378, 539, 788, 506 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, 539, 788, 506. So, keep reading to learn more.
Given numbers are 378,539,788,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 378,539,788,506 is 263758572.
Find LCM of 378,539,788,506 with Prime Factorization
| 2 | 378, 539, 788, 506 |
| 7 | 189, 539, 394, 253 |
| 11 | 27, 77, 394, 253 |
| 27, 7, 394, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 27 x 7 x 394 x 23 = 263758572
Therefore, the lowest common multiple of 378,539,788,506 is 263758572.
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 539 x 788 x 506 = 81237640176
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
539 : 1, 7, 11, 49, 77, 539
788 : 1, 2, 4, 197, 394, 788
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,539,788,506, is 1.
Now, the common factors can be found like this.
378:2x 3x 3x 3x 7
539:7x 7x 11
788:2x 2x 197
506:2x 11x 23
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 7x 11 = 308
Therefore, the value for common factors is 308.
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 = 81237640176/(1x308)
LCM = 81237640176/308
LCM = 263758572
Thus, we can understand that the LCM of 378,539,788,506 is 263758572.
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, 539, 788, 506
1. What is the LCM of 378, 539, 788, 506?
Answer: LCM of 378, 539, 788, 506 is 263758572.
2. How to calculate the LCM of 378, 539, 788, 506?
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, 539, 788, 506.
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}.