LCM of 326, 978, 427, 378, 500
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 326, 978, 427, 378, 500 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 326, 978, 427, 378, 500. So, keep reading to learn more.
Given numbers are 326,978,427,378,500
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 326,978,427,378,500 is 939613500.
Find LCM of 326,978,427,378,500 with Prime Factorization
| 2 | 326, 978, 427, 378, 500 |
| 3 | 163, 489, 427, 189, 250 |
| 7 | 163, 163, 427, 63, 250 |
| 163 | 163, 163, 61, 9, 250 |
| 1, 1, 61, 9, 250 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 163 x 1 x 1 x 61 x 9 x 250 = 939613500
Therefore, the lowest common multiple of 326,978,427,378,500 is 939613500.
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.
326 x 978 x 427 x 378 x 500 = 25730376084000
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.
326 : 1, 2, 163, 326
978 : 1, 2, 3, 6, 163, 326, 489, 978
427 : 1, 7, 61, 427
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,978,427,378,500, is 1.
Now, the common factors can be found like this.
326:2x 163
978:2x 3x 163
427:7x 61
378:2x 3x 3x 3x 7
500:2x 2x 5x 5x 5
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 163 = 27384
Therefore, the value for common factors is 27384.
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 = 25730376084000/(1x27384)
LCM = 25730376084000/27384
LCM = 939613500
Thus, we can understand that the LCM of 326,978,427,378,500 is 939613500.
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FAQs on LCM of 326, 978, 427, 378, 500
1. What is the LCM of 326, 978, 427, 378, 500?
Answer: LCM of 326, 978, 427, 378, 500 is 939613500.
2. How to calculate the LCM of 326, 978, 427, 378, 500?
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 326, 978, 427, 378, 500.
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}.