LCM of 612, 755, 300, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 612, 755, 300, 975 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 612, 755, 300, 975. So, keep reading to learn more.
Given numbers are 612,755,300,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,755,300,975 is 30033900.
Find LCM of 612,755,300,975 with Prime Factorization
| 2 | 612, 755, 300, 975 |
| 2 | 306, 755, 150, 975 |
| 3 | 153, 755, 75, 975 |
| 5 | 51, 755, 25, 325 |
| 5 | 51, 151, 5, 65 |
| 51, 151, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 51 x 151 x 1 x 13 = 30033900
Therefore, the lowest common multiple of 612,755,300,975 is 30033900.
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.
612 x 755 x 300 x 975 = 135152550000
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.
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
755 : 1, 5, 151, 755
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,755,300,975, is 1.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
755:5x 151
300:2x 2x 3x 5x 5
975:3x 5x 5x 13
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 5x 5x 5 = 4500
Therefore, the value for common factors is 4500.
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 = 135152550000/(1x4500)
LCM = 135152550000/4500
LCM = 30033900
Thus, we can understand that the LCM of 612,755,300,975 is 30033900.
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FAQs on LCM of 612, 755, 300, 975
1. What is the LCM of 612, 755, 300, 975?
Answer: LCM of 612, 755, 300, 975 is 30033900.
2. How to calculate the LCM of 612, 755, 300, 975?
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 612, 755, 300, 975.
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}.