LCM of 548, 204, 770, 368, 274
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 548, 204, 770, 368, 274 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 548, 204, 770, 368, 274. So, keep reading to learn more.
Given numbers are 548,204,770,368,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 548,204,770,368,274 is 989918160.
Find LCM of 548,204,770,368,274 with Prime Factorization
| 2 | 548, 204, 770, 368, 274 |
| 2 | 274, 102, 385, 184, 137 |
| 137 | 137, 51, 385, 92, 137 |
| 1, 51, 385, 92, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 137 x 1 x 51 x 385 x 92 x 1 = 989918160
Therefore, the lowest common multiple of 548,204,770,368,274 is 989918160.
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.
548 x 204 x 770 x 368 x 274 = 8679602426880
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.
548 : 1, 2, 4, 137, 274, 548
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
274 : 1, 2, 137, 274
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,204,770,368,274, is 2.
Now, the common factors can be found like this.
548:2x 2x 137
204:2x 2x 3x 17
770:2x 5x 7x 11
368:2x 2x 2x 2x 23
274:2x 137
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 137 = 4384
Therefore, the value for common factors is 4384.
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 = 8679602426880/(2x4384)
LCM = 8679602426880/8768
LCM = 989918160
Thus, we can understand that the LCM of 548,204,770,368,274 is 989918160.
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FAQs on LCM of 548, 204, 770, 368, 274
1. What is the LCM of 548, 204, 770, 368, 274?
Answer: LCM of 548, 204, 770, 368, 274 is 989918160.
2. How to calculate the LCM of 548, 204, 770, 368, 274?
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 548, 204, 770, 368, 274.
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}.