LCM of 948, 327, 825, 210, 445
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 948, 327, 825, 210, 445 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, 327, 825, 210, 445. So, keep reading to learn more.
Given numbers are 948,327,825,210,445
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 948,327,825,210,445 is 17703354900.
Find LCM of 948,327,825,210,445 with Prime Factorization
| 2 | 948, 327, 825, 210, 445 |
| 3 | 474, 327, 825, 105, 445 |
| 5 | 158, 109, 275, 35, 445 |
| 158, 109, 55, 7, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 158 x 109 x 55 x 7 x 89 = 17703354900
Therefore, the lowest common multiple of 948,327,825,210,445 is 17703354900.
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 327 x 825 x 210 x 445 = 23899529115000
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
327 : 1, 3, 109, 327
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
445 : 1, 5, 89, 445
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,327,825,210,445, is 1.
Now, the common factors can be found like this.
948:2x 2x 3x 79
327:3x 109
825:3x 5x 5x 11
210:2x 3x 5x 7
445:5x 89
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 3x 5x 5 = 1350
Therefore, the value for common factors is 1350.
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 = 23899529115000/(1x1350)
LCM = 23899529115000/1350
LCM = 17703354900
Thus, we can understand that the LCM of 948,327,825,210,445 is 17703354900.
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FAQs on LCM of 948, 327, 825, 210, 445
1. What is the LCM of 948, 327, 825, 210, 445?
Answer: LCM of 948, 327, 825, 210, 445 is 17703354900.
2. How to calculate the LCM of 948, 327, 825, 210, 445?
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, 327, 825, 210, 445.
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}.