LCM of 639, 561, 534, 939, 893
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 639, 561, 534, 939, 893 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, 561, 534, 939, 893. So, keep reading to learn more.
Given numbers are 639,561,534,939,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 639,561,534,939,893 is 5945087670786.
Find LCM of 639,561,534,939,893 with Prime Factorization
| 3 | 639, 561, 534, 939, 893 |
| 213, 187, 178, 313, 893 |
Multiply the prime numbers at the bottom and the left side.
3 x 213 x 187 x 178 x 313 x 893 = 5945087670786
Therefore, the lowest common multiple of 639,561,534,939,893 is 5945087670786.
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 561 x 534 x 939 x 893 = 160517367111222
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
561 : 1, 3, 11, 17, 33, 51, 187, 561
534 : 1, 2, 3, 6, 89, 178, 267, 534
939 : 1, 3, 313, 939
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 639,561,534,939,893, is 1.
Now, the common factors can be found like this.
639:3x 3x 71
561:3x 11x 17
534:2x 3x 89
939:3x 313
893:19x 47
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 3 = 27
Therefore, the value for common factors is 27.
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 = 160517367111222/(1x27)
LCM = 160517367111222/27
LCM = 5945087670786
Thus, we can understand that the LCM of 639,561,534,939,893 is 5945087670786.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 639, 561, 534, 939, 893
1. What is the LCM of 639, 561, 534, 939, 893?
Answer: LCM of 639, 561, 534, 939, 893 is 5945087670786.
2. How to calculate the LCM of 639, 561, 534, 939, 893?
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, 561, 534, 939, 893.
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}.