LCM of 164, 138, 869, 630, 654
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 164, 138, 869, 630, 654 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 164, 138, 869, 630, 654. So, keep reading to learn more.
Given numbers are 164,138,869,630,654
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 164,138,869,630,654 is 112545597780.
Find LCM of 164,138,869,630,654 with Prime Factorization
| 2 | 164, 138, 869, 630, 654 |
| 3 | 82, 69, 869, 315, 327 |
| 82, 23, 869, 105, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 82 x 23 x 869 x 105 x 109 = 112545597780
Therefore, the lowest common multiple of 164,138,869,630,654 is 112545597780.
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.
164 x 138 x 869 x 630 x 654 = 8103283040160
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.
164 : 1, 2, 4, 41, 82, 164
138 : 1, 2, 3, 6, 23, 46, 69, 138
869 : 1, 11, 79, 869
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
654 : 1, 2, 3, 6, 109, 218, 327, 654
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 164,138,869,630,654, is 1.
Now, the common factors can be found like this.
164:2x 2x 41
138:2x 3x 23
869:11x 79
630:2x 3x 3x 5x 7
654:2x 3x 109
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 8103283040160/(1x72)
LCM = 8103283040160/72
LCM = 112545597780
Thus, we can understand that the LCM of 164,138,869,630,654 is 112545597780.
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FAQs on LCM of 164, 138, 869, 630, 654
1. What is the LCM of 164, 138, 869, 630, 654?
Answer: LCM of 164, 138, 869, 630, 654 is 112545597780.
2. How to calculate the LCM of 164, 138, 869, 630, 654?
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 164, 138, 869, 630, 654.
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}.