LCM of 248, 546, 306, 736, 672
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 248, 546, 306, 736, 672 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 248, 546, 306, 736, 672. So, keep reading to learn more.
Given numbers are 248,546,306,736,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 248,546,306,736,672 is 317667168.
Find LCM of 248,546,306,736,672 with Prime Factorization
| 2 | 248, 546, 306, 736, 672 |
| 2 | 124, 273, 153, 368, 336 |
| 2 | 62, 273, 153, 184, 168 |
| 2 | 31, 273, 153, 92, 84 |
| 2 | 31, 273, 153, 46, 42 |
| 3 | 31, 273, 153, 23, 21 |
| 7 | 31, 91, 51, 23, 7 |
| 31, 13, 51, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 7 x 31 x 13 x 51 x 23 x 1 = 317667168
Therefore, the lowest common multiple of 248,546,306,736,672 is 317667168.
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.
248 x 546 x 306 x 736 x 672 = 20493344342016
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.
248 : 1, 2, 4, 8, 31, 62, 124, 248
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,546,306,736,672, is 2.
Now, the common factors can be found like this.
248:2x 2x 2x 31
546:2x 3x 7x 13
306:2x 3x 3x 17
736:2x 2x 2x 2x 2x 23
672:2x 2x 2x 2x 2x 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 2x 2x 2x 2x 2x 2x 2x 3x 3x 7 = 32256
Therefore, the value for common factors is 32256.
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 = 20493344342016/(2x32256)
LCM = 20493344342016/64512
LCM = 317667168
Thus, we can understand that the LCM of 248,546,306,736,672 is 317667168.
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FAQs on LCM of 248, 546, 306, 736, 672
1. What is the LCM of 248, 546, 306, 736, 672?
Answer: LCM of 248, 546, 306, 736, 672 is 317667168.
2. How to calculate the LCM of 248, 546, 306, 736, 672?
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 248, 546, 306, 736, 672.
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}.