LCM of 381, 507, 975, 608
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 381, 507, 975, 608 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 381, 507, 975, 608. So, keep reading to learn more.
Given numbers are 381,507,975,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,507,975,608 is 978712800.
Find LCM of 381,507,975,608 with Prime Factorization
| 3 | 381, 507, 975, 608 |
| 13 | 127, 169, 325, 608 |
| 127, 13, 25, 608 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 127 x 13 x 25 x 608 = 978712800
Therefore, the lowest common multiple of 381,507,975,608 is 978712800.
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.
381 x 507 x 975 x 608 = 114509397600
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.
381 : 1, 3, 127, 381
507 : 1, 3, 13, 39, 169, 507
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,507,975,608, is 1.
Now, the common factors can be found like this.
381:3x 127
507:3x 13x 13
975:3x 5x 5x 13
608:2x 2x 2x 2x 2x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13 = 117
Therefore, the value for common factors is 117.
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 = 114509397600/(1x117)
LCM = 114509397600/117
LCM = 978712800
Thus, we can understand that the LCM of 381,507,975,608 is 978712800.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 381, 507, 975, 608
1. What is the LCM of 381, 507, 975, 608?
Answer: LCM of 381, 507, 975, 608 is 978712800.
2. How to calculate the LCM of 381, 507, 975, 608?
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 381, 507, 975, 608.
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}.