LCM of 105, 948, 524, 574, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 948, 524, 574, 847 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 105, 948, 524, 574, 847. So, keep reading to learn more.
Given numbers are 105,948,524,574,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,948,524,574,847 is 21563383380.
Find LCM of 105,948,524,574,847 with Prime Factorization
| 2 | 105, 948, 524, 574, 847 |
| 2 | 105, 474, 262, 287, 847 |
| 3 | 105, 237, 131, 287, 847 |
| 7 | 35, 79, 131, 287, 847 |
| 5, 79, 131, 41, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 5 x 79 x 131 x 41 x 121 = 21563383380
Therefore, the lowest common multiple of 105,948,524,574,847 is 21563383380.
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.
105 x 948 x 524 x 574 x 847 = 25358538854880
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
524 : 1, 2, 4, 131, 262, 524
574 : 1, 2, 7, 14, 41, 82, 287, 574
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,948,524,574,847, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
948:2x 2x 3x 79
524:2x 2x 131
574:2x 7x 41
847:7x 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 3x 7x 7 = 1176
Therefore, the value for common factors is 1176.
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 = 25358538854880/(1x1176)
LCM = 25358538854880/1176
LCM = 21563383380
Thus, we can understand that the LCM of 105,948,524,574,847 is 21563383380.
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FAQs on LCM of 105, 948, 524, 574, 847
1. What is the LCM of 105, 948, 524, 574, 847?
Answer: LCM of 105, 948, 524, 574, 847 is 21563383380.
2. How to calculate the LCM of 105, 948, 524, 574, 847?
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 105, 948, 524, 574, 847.
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}.