LCM of 627, 609, 470, 638
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 609, 470, 638 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, 609, 470, 638. So, keep reading to learn more.
Given numbers are 627,609,470,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,609,470,638 is 59822070.
Find LCM of 627,609,470,638 with Prime Factorization
| 2 | 627, 609, 470, 638 |
| 3 | 627, 609, 235, 319 |
| 11 | 209, 203, 235, 319 |
| 29 | 19, 203, 235, 29 |
| 19, 7, 235, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 29 x 19 x 7 x 235 x 1 = 59822070
Therefore, the lowest common multiple of 627,609,470,638 is 59822070.
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 609 x 470 x 638 = 114499441980
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
609 : 1, 3, 7, 21, 29, 87, 203, 609
470 : 1, 2, 5, 10, 47, 94, 235, 470
638 : 1, 2, 11, 22, 29, 58, 319, 638
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,609,470,638, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
609:3x 7x 29
470:2x 5x 47
638:2x 11x 29
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 11x 29 = 1914
Therefore, the value for common factors is 1914.
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 = 114499441980/(1x1914)
LCM = 114499441980/1914
LCM = 59822070
Thus, we can understand that the LCM of 627,609,470,638 is 59822070.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 627, 609, 470, 638
1. What is the LCM of 627, 609, 470, 638?
Answer: LCM of 627, 609, 470, 638 is 59822070.
2. How to calculate the LCM of 627, 609, 470, 638?
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, 609, 470, 638.
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}.