LCM of 456, 192, 148, 264, 549
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 456, 192, 148, 264, 549 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 456, 192, 148, 264, 549. So, keep reading to learn more.
Given numbers are 456,192,148,264,549
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 456,192,148,264,549 is 271706688.
Find LCM of 456,192,148,264,549 with Prime Factorization
| 2 | 456, 192, 148, 264, 549 |
| 2 | 228, 96, 74, 132, 549 |
| 2 | 114, 48, 37, 66, 549 |
| 3 | 57, 24, 37, 33, 549 |
| 19, 8, 37, 11, 183 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 8 x 37 x 11 x 183 = 271706688
Therefore, the lowest common multiple of 456,192,148,264,549 is 271706688.
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.
456 x 192 x 148 x 264 x 549 = 1878036627456
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.
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
148 : 1, 2, 4, 37, 74, 148
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
549 : 1, 3, 9, 61, 183, 549
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,192,148,264,549, is 1.
Now, the common factors can be found like this.
456:2x 2x 2x 3x 19
192:2x 2x 2x 2x 2x 2x 3
148:2x 2x 37
264:2x 2x 2x 3x 11
549:3x 3x 61
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 3x 3x 3 = 6912
Therefore, the value for common factors is 6912.
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 = 1878036627456/(1x6912)
LCM = 1878036627456/6912
LCM = 271706688
Thus, we can understand that the LCM of 456,192,148,264,549 is 271706688.
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FAQs on LCM of 456, 192, 148, 264, 549
1. What is the LCM of 456, 192, 148, 264, 549?
Answer: LCM of 456, 192, 148, 264, 549 is 271706688.
2. How to calculate the LCM of 456, 192, 148, 264, 549?
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 456, 192, 148, 264, 549.
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}.