LCM of 290, 981, 126, 105, 524
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 290, 981, 126, 105, 524 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 290, 981, 126, 105, 524. So, keep reading to learn more.
Given numbers are 290,981,126,105,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 290,981,126,105,524 is 521754660.
Find LCM of 290,981,126,105,524 with Prime Factorization
| 2 | 290, 981, 126, 105, 524 |
| 3 | 145, 981, 63, 105, 262 |
| 3 | 145, 327, 21, 35, 262 |
| 5 | 145, 109, 7, 35, 262 |
| 7 | 29, 109, 7, 7, 262 |
| 29, 109, 1, 1, 262 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 29 x 109 x 1 x 1 x 262 = 521754660
Therefore, the lowest common multiple of 290,981,126,105,524 is 521754660.
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.
290 x 981 x 126 x 105 x 524 = 1972232614800
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.
290 : 1, 2, 5, 10, 29, 58, 145, 290
981 : 1, 3, 9, 109, 327, 981
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
105 : 1, 3, 5, 7, 15, 21, 35, 105
524 : 1, 2, 4, 131, 262, 524
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,981,126,105,524, is 1.
Now, the common factors can be found like this.
290:2x 5x 29
981:3x 3x 109
126:2x 3x 3x 7
105:3x 5x 7
524:2x 2x 131
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 3x 3x 3x 5x 7 = 3780
Therefore, the value for common factors is 3780.
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 = 1972232614800/(1x3780)
LCM = 1972232614800/3780
LCM = 521754660
Thus, we can understand that the LCM of 290,981,126,105,524 is 521754660.
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FAQs on LCM of 290, 981, 126, 105, 524
1. What is the LCM of 290, 981, 126, 105, 524?
Answer: LCM of 290, 981, 126, 105, 524 is 521754660.
2. How to calculate the LCM of 290, 981, 126, 105, 524?
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 290, 981, 126, 105, 524.
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}.