LCM of 627, 328, 120, 501, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 328, 120, 501, 984 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 627, 328, 120, 501, 984. So, keep reading to learn more.
Given numbers are 627,328,120,501,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,328,120,501,984 is 171722760.
Find LCM of 627,328,120,501,984 with Prime Factorization
| 2 | 627, 328, 120, 501, 984 |
| 2 | 627, 164, 60, 501, 492 |
| 2 | 627, 82, 30, 501, 246 |
| 3 | 627, 41, 15, 501, 123 |
| 41 | 209, 41, 5, 167, 41 |
| 209, 1, 5, 167, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 41 x 209 x 1 x 5 x 167 x 1 = 171722760
Therefore, the lowest common multiple of 627,328,120,501,984 is 171722760.
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.
627 x 328 x 120 x 501 x 984 = 12166214100480
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
328 : 1, 2, 4, 8, 41, 82, 164, 328
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
501 : 1, 3, 167, 501
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,328,120,501,984, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
328:2x 2x 2x 41
120:2x 2x 2x 3x 5
501:3x 167
984:2x 2x 2x 3x 41
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 2x 2x 2x 3x 3x 3x 41 = 70848
Therefore, the value for common factors is 70848.
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 = 12166214100480/(1x70848)
LCM = 12166214100480/70848
LCM = 171722760
Thus, we can understand that the LCM of 627,328,120,501,984 is 171722760.
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FAQs on LCM of 627, 328, 120, 501, 984
1. What is the LCM of 627, 328, 120, 501, 984?
Answer: LCM of 627, 328, 120, 501, 984 is 171722760.
2. How to calculate the LCM of 627, 328, 120, 501, 984?
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 627, 328, 120, 501, 984.
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}.