LCM of 546, 263, 945, 588, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 263, 945, 588, 646 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, 263, 945, 588, 646. So, keep reading to learn more.
Given numbers are 546,263,945,588,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,263,945,588,646 is 29220757020.
Find LCM of 546,263,945,588,646 with Prime Factorization
| 2 | 546, 263, 945, 588, 646 |
| 3 | 273, 263, 945, 294, 323 |
| 7 | 91, 263, 315, 98, 323 |
| 13, 263, 45, 14, 323 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 263 x 45 x 14 x 323 = 29220757020
Therefore, the lowest common multiple of 546,263,945,588,646 is 29220757020.
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 263 x 945 x 588 x 646 = 51545415383280
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
263 : 1, 263
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,263,945,588,646, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
263:263
945:3x 3x 3x 5x 7
588:2x 2x 3x 7x 7
646:2x 17x 19
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 7x 7 = 1764
Therefore, the value for common factors is 1764.
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 = 51545415383280/(1x1764)
LCM = 51545415383280/1764
LCM = 29220757020
Thus, we can understand that the LCM of 546,263,945,588,646 is 29220757020.
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FAQs on LCM of 546, 263, 945, 588, 646
1. What is the LCM of 546, 263, 945, 588, 646?
Answer: LCM of 546, 263, 945, 588, 646 is 29220757020.
2. How to calculate the LCM of 546, 263, 945, 588, 646?
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, 263, 945, 588, 646.
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}.