LCM of 541, 978, 813, 300
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 541, 978, 813, 300 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 541, 978, 813, 300. So, keep reading to learn more.
Given numbers are 541,978,813,300
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 541,978,813,300 is 7169277900.
Find LCM of 541,978,813,300 with Prime Factorization
| 2 | 541, 978, 813, 300 |
| 3 | 541, 489, 813, 150 |
| 541, 163, 271, 50 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 541 x 163 x 271 x 50 = 7169277900
Therefore, the lowest common multiple of 541,978,813,300 is 7169277900.
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.
541 x 978 x 813 x 300 = 129047002200
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.
541 : 1, 541
978 : 1, 2, 3, 6, 163, 326, 489, 978
813 : 1, 3, 271, 813
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,978,813,300, is 1.
Now, the common factors can be found like this.
541:541
978:2x 3x 163
813:3x 271
300:2x 2x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 129047002200/(1x18)
LCM = 129047002200/18
LCM = 7169277900
Thus, we can understand that the LCM of 541,978,813,300 is 7169277900.
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FAQs on LCM of 541, 978, 813, 300
1. What is the LCM of 541, 978, 813, 300?
Answer: LCM of 541, 978, 813, 300 is 7169277900.
2. How to calculate the LCM of 541, 978, 813, 300?
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 541, 978, 813, 300.
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}.