LCM of 948, 109, 408, 867, 523
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 948, 109, 408, 867, 523 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 948, 109, 408, 867, 523. So, keep reading to learn more.
Given numbers are 948,109,408,867,523
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 948,109,408,867,523 is 31236643608.
Find LCM of 948,109,408,867,523 with Prime Factorization
| 2 | 948, 109, 408, 867, 523 |
| 2 | 474, 109, 204, 867, 523 |
| 3 | 237, 109, 102, 867, 523 |
| 17 | 79, 109, 34, 289, 523 |
| 79, 109, 2, 17, 523 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 79 x 109 x 2 x 17 x 523 = 31236643608
Therefore, the lowest common multiple of 948,109,408,867,523 is 31236643608.
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.
948 x 109 x 408 x 867 x 523 = 19116825888096
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.
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
109 : 1, 109
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
867 : 1, 3, 17, 51, 289, 867
523 : 1, 523
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,109,408,867,523, is 1.
Now, the common factors can be found like this.
948:2x 2x 3x 79
109:109
408:2x 2x 2x 3x 17
867:3x 17x 17
523:523
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 17 = 612
Therefore, the value for common factors is 612.
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 = 19116825888096/(1x612)
LCM = 19116825888096/612
LCM = 31236643608
Thus, we can understand that the LCM of 948,109,408,867,523 is 31236643608.
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FAQs on LCM of 948, 109, 408, 867, 523
1. What is the LCM of 948, 109, 408, 867, 523?
Answer: LCM of 948, 109, 408, 867, 523 is 31236643608.
2. How to calculate the LCM of 948, 109, 408, 867, 523?
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 948, 109, 408, 867, 523.
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}.