LCM of 546, 272, 445, 845
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 272, 445, 845 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, 272, 445, 845. So, keep reading to learn more.
Given numbers are 546,272,445,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,272,445,845 is 429570960.
Find LCM of 546,272,445,845 with Prime Factorization
| 2 | 546, 272, 445, 845 |
| 5 | 273, 136, 445, 845 |
| 13 | 273, 136, 89, 169 |
| 21, 136, 89, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 21 x 136 x 89 x 13 = 429570960
Therefore, the lowest common multiple of 546,272,445,845 is 429570960.
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 272 x 445 x 845 = 55844224800
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
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
445 : 1, 5, 89, 445
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,272,445,845, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
272:2x 2x 2x 2x 17
445:5x 89
845:5x 13x 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 5x 13 = 130
Therefore, the value for common factors is 130.
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 = 55844224800/(1x130)
LCM = 55844224800/130
LCM = 429570960
Thus, we can understand that the LCM of 546,272,445,845 is 429570960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 546, 272, 445, 845
1. What is the LCM of 546, 272, 445, 845?
Answer: LCM of 546, 272, 445, 845 is 429570960.
2. How to calculate the LCM of 546, 272, 445, 845?
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, 272, 445, 845.
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}.