LCM of 545, 253, 300, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 545, 253, 300, 578 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 545, 253, 300, 578. So, keep reading to learn more.
Given numbers are 545,253,300,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 545,253,300,578 is 2390925900.
Find LCM of 545,253,300,578 with Prime Factorization
| 2 | 545, 253, 300, 578 |
| 5 | 545, 253, 150, 289 |
| 109, 253, 30, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 109 x 253 x 30 x 289 = 2390925900
Therefore, the lowest common multiple of 545,253,300,578 is 2390925900.
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.
545 x 253 x 300 x 578 = 23909259000
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.
545 : 1, 5, 109, 545
253 : 1, 11, 23, 253
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,253,300,578, is 1.
Now, the common factors can be found like this.
545:5x 109
253:11x 23
300:2x 2x 3x 5x 5
578:2x 17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 23909259000/(1x10)
LCM = 23909259000/10
LCM = 2390925900
Thus, we can understand that the LCM of 545,253,300,578 is 2390925900.
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FAQs on LCM of 545, 253, 300, 578
1. What is the LCM of 545, 253, 300, 578?
Answer: LCM of 545, 253, 300, 578 is 2390925900.
2. How to calculate the LCM of 545, 253, 300, 578?
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 545, 253, 300, 578.
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}.