LCM of 544, 289, 596, 660
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 544, 289, 596, 660 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 544, 289, 596, 660. So, keep reading to learn more.
Given numbers are 544,289,596,660
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 544,289,596,660 is 227362080.
Find LCM of 544,289,596,660 with Prime Factorization
| 2 | 544, 289, 596, 660 |
| 2 | 272, 289, 298, 330 |
| 17 | 136, 289, 149, 165 |
| 8, 17, 149, 165 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 8 x 17 x 149 x 165 = 227362080
Therefore, the lowest common multiple of 544,289,596,660 is 227362080.
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.
544 x 289 x 596 x 660 = 61842485760
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.
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
289 : 1, 17, 289
596 : 1, 2, 4, 149, 298, 596
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,289,596,660, is 1.
Now, the common factors can be found like this.
544:2x 2x 2x 2x 2x 17
289:17x 17
596:2x 2x 149
660:2x 2x 3x 5x 11
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 17 = 272
Therefore, the value for common factors is 272.
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 = 61842485760/(1x272)
LCM = 61842485760/272
LCM = 227362080
Thus, we can understand that the LCM of 544,289,596,660 is 227362080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 544, 289, 596, 660
1. What is the LCM of 544, 289, 596, 660?
Answer: LCM of 544, 289, 596, 660 is 227362080.
2. How to calculate the LCM of 544, 289, 596, 660?
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 544, 289, 596, 660.
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}.