LCM of 546, 358, 330, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 358, 330, 567 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 546, 358, 330, 567. So, keep reading to learn more.
Given numbers are 546,358,330,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,358,330,567 is 145134990.
Find LCM of 546,358,330,567 with Prime Factorization
| 2 | 546, 358, 330, 567 |
| 3 | 273, 179, 165, 567 |
| 7 | 91, 179, 55, 189 |
| 13, 179, 55, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 179 x 55 x 27 = 145134990
Therefore, the lowest common multiple of 546,358,330,567 is 145134990.
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.
546 x 358 x 330 x 567 = 36574017480
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
358 : 1, 2, 179, 358
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,358,330,567, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
358:2x 179
330:2x 3x 5x 11
567:3x 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 2x 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 36574017480/(1x252)
LCM = 36574017480/252
LCM = 145134990
Thus, we can understand that the LCM of 546,358,330,567 is 145134990.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 546, 358, 330, 567
1. What is the LCM of 546, 358, 330, 567?
Answer: LCM of 546, 358, 330, 567 is 145134990.
2. How to calculate the LCM of 546, 358, 330, 567?
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 546, 358, 330, 567.
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}.