LCM of 138, 399, 817, 564
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 138, 399, 817, 564 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 138, 399, 817, 564. So, keep reading to learn more.
Given numbers are 138,399,817,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,399,817,564 is 74186868.
Find LCM of 138,399,817,564 with Prime Factorization
| 2 | 138, 399, 817, 564 |
| 3 | 69, 399, 817, 282 |
| 19 | 23, 133, 817, 94 |
| 23, 7, 43, 94 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 23 x 7 x 43 x 94 = 74186868
Therefore, the lowest common multiple of 138,399,817,564 is 74186868.
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.
138 x 399 x 817 x 564 = 25371908856
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.
138 : 1, 2, 3, 6, 23, 46, 69, 138
399 : 1, 3, 7, 19, 21, 57, 133, 399
817 : 1, 19, 43, 817
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,399,817,564, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
399:3x 7x 19
817:19x 43
564:2x 2x 3x 47
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 3x 19 = 342
Therefore, the value for common factors is 342.
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 = 25371908856/(1x342)
LCM = 25371908856/342
LCM = 74186868
Thus, we can understand that the LCM of 138,399,817,564 is 74186868.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 138, 399, 817, 564
1. What is the LCM of 138, 399, 817, 564?
Answer: LCM of 138, 399, 817, 564 is 74186868.
2. How to calculate the LCM of 138, 399, 817, 564?
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 138, 399, 817, 564.
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}.