LCM of 546, 456, 584, 175
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 456, 584, 175 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, 456, 584, 175. So, keep reading to learn more.
Given numbers are 546,456,584,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,456,584,175 is 75730200.
Find LCM of 546,456,584,175 with Prime Factorization
| 2 | 546, 456, 584, 175 |
| 2 | 273, 228, 292, 175 |
| 2 | 273, 114, 146, 175 |
| 3 | 273, 57, 73, 175 |
| 7 | 91, 19, 73, 175 |
| 13, 19, 73, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 13 x 19 x 73 x 25 = 75730200
Therefore, the lowest common multiple of 546,456,584,175 is 75730200.
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 456 x 584 x 175 = 25445347200
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
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
584 : 1, 2, 4, 8, 73, 146, 292, 584
175 : 1, 5, 7, 25, 35, 175
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,456,584,175, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
456:2x 2x 2x 3x 19
584:2x 2x 2x 73
175:5x 5x 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 2x 2x 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 25445347200/(1x336)
LCM = 25445347200/336
LCM = 75730200
Thus, we can understand that the LCM of 546,456,584,175 is 75730200.
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, 456, 584, 175
1. What is the LCM of 546, 456, 584, 175?
Answer: LCM of 546, 456, 584, 175 is 75730200.
2. How to calculate the LCM of 546, 456, 584, 175?
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, 456, 584, 175.
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}.