LCM of 573, 484, 654, 611, 327
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 573, 484, 654, 611, 327 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 573, 484, 654, 611, 327. So, keep reading to learn more.
Given numbers are 573,484,654,611,327
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,484,654,611,327 is 18470033868.
Find LCM of 573,484,654,611,327 with Prime Factorization
| 2 | 573, 484, 654, 611, 327 |
| 3 | 573, 242, 327, 611, 327 |
| 109 | 191, 242, 109, 611, 109 |
| 191, 242, 1, 611, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 109 x 191 x 242 x 1 x 611 x 1 = 18470033868
Therefore, the lowest common multiple of 573,484,654,611,327 is 18470033868.
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.
573 x 484 x 654 x 611 x 327 = 36238206449016
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.
573 : 1, 3, 191, 573
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
654 : 1, 2, 3, 6, 109, 218, 327, 654
611 : 1, 13, 47, 611
327 : 1, 3, 109, 327
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,484,654,611,327, is 1.
Now, the common factors can be found like this.
573:3x 191
484:2x 2x 11x 11
654:2x 3x 109
611:13x 47
327:3x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 109 = 1962
Therefore, the value for common factors is 1962.
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 = 36238206449016/(1x1962)
LCM = 36238206449016/1962
LCM = 18470033868
Thus, we can understand that the LCM of 573,484,654,611,327 is 18470033868.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 573, 484, 654, 611, 327
1. What is the LCM of 573, 484, 654, 611, 327?
Answer: LCM of 573, 484, 654, 611, 327 is 18470033868.
2. How to calculate the LCM of 573, 484, 654, 611, 327?
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 573, 484, 654, 611, 327.
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}.