LCM of 639, 819, 654, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 639, 819, 654, 693 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 639, 819, 654, 693. So, keep reading to learn more.
Given numbers are 639,819,654,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 639,819,654,693 is 139441302.
Find LCM of 639,819,654,693 with Prime Factorization
| 3 | 639, 819, 654, 693 |
| 3 | 213, 273, 218, 231 |
| 7 | 71, 91, 218, 77 |
| 71, 13, 218, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 71 x 13 x 218 x 11 = 139441302
Therefore, the lowest common multiple of 639,819,654,693 is 139441302.
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.
639 x 819 x 654 x 693 = 237189654702
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.
639 : 1, 3, 9, 71, 213, 639
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
654 : 1, 2, 3, 6, 109, 218, 327, 654
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 639,819,654,693, is 3.
Now, the common factors can be found like this.
639:3x 3x 71
819:3x 3x 7x 13
654:2x 3x 109
693:3x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 7 = 567
Therefore, the value for common factors is 567.
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 = 237189654702/(3x567)
LCM = 237189654702/1701
LCM = 139441302
Thus, we can understand that the LCM of 639,819,654,693 is 139441302.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 639, 819, 654, 693
1. What is the LCM of 639, 819, 654, 693?
Answer: LCM of 639, 819, 654, 693 is 139441302.
2. How to calculate the LCM of 639, 819, 654, 693?
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 639, 819, 654, 693.
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}.