LCM of 543, 945, 150, 305, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 945, 150, 305, 756 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 543, 945, 150, 305, 756. So, keep reading to learn more.
Given numbers are 543,945,150,305,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,945,150,305,756 is 208674900.
Find LCM of 543,945,150,305,756 with Prime Factorization
| 2 | 543, 945, 150, 305, 756 |
| 3 | 543, 945, 75, 305, 378 |
| 3 | 181, 315, 25, 305, 126 |
| 3 | 181, 105, 25, 305, 42 |
| 5 | 181, 35, 25, 305, 14 |
| 7 | 181, 7, 5, 61, 14 |
| 181, 1, 5, 61, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 7 x 181 x 1 x 5 x 61 x 2 = 208674900
Therefore, the lowest common multiple of 543,945,150,305,756 is 208674900.
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.
543 x 945 x 150 x 305 x 756 = 17747800245000
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.
543 : 1, 3, 181, 543
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
305 : 1, 5, 61, 305
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,945,150,305,756, is 1.
Now, the common factors can be found like this.
543:3x 181
945:3x 3x 3x 5x 7
150:2x 3x 5x 5
305:5x 61
756:2x 2x 3x 3x 3x 7
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 3x 3x 3x 3x 5x 5x 7 = 85050
Therefore, the value for common factors is 85050.
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 = 17747800245000/(1x85050)
LCM = 17747800245000/85050
LCM = 208674900
Thus, we can understand that the LCM of 543,945,150,305,756 is 208674900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 543, 945, 150, 305, 756
1. What is the LCM of 543, 945, 150, 305, 756?
Answer: LCM of 543, 945, 150, 305, 756 is 208674900.
2. How to calculate the LCM of 543, 945, 150, 305, 756?
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 543, 945, 150, 305, 756.
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}.