LCM of 727, 242, 176, 542, 484
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 727, 242, 176, 542, 484 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 727, 242, 176, 542, 484. So, keep reading to learn more.
Given numbers are 727,242,176,542,484
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 727,242,176,542,484 is 381424912.
Find LCM of 727,242,176,542,484 with Prime Factorization
| 2 | 727, 242, 176, 542, 484 |
| 2 | 727, 121, 88, 271, 242 |
| 11 | 727, 121, 44, 271, 121 |
| 11 | 727, 11, 4, 271, 11 |
| 727, 1, 4, 271, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 11 x 727 x 1 x 4 x 271 x 1 = 381424912
Therefore, the lowest common multiple of 727,242,176,542,484 is 381424912.
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.
727 x 242 x 176 x 542 x 484 = 8122824925952
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.
727 : 1, 727
242 : 1, 2, 11, 22, 121, 242
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
542 : 1, 2, 271, 542
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,242,176,542,484, is 1.
Now, the common factors can be found like this.
727:727
242:2x 11x 11
176:2x 2x 2x 2x 11
542:2x 271
484:2x 2x 11x 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 11x 11x 11 = 21296
Therefore, the value for common factors is 21296.
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 = 8122824925952/(1x21296)
LCM = 8122824925952/21296
LCM = 381424912
Thus, we can understand that the LCM of 727,242,176,542,484 is 381424912.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 727, 242, 176, 542, 484
1. What is the LCM of 727, 242, 176, 542, 484?
Answer: LCM of 727, 242, 176, 542, 484 is 381424912.
2. How to calculate the LCM of 727, 242, 176, 542, 484?
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 727, 242, 176, 542, 484.
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}.