LCM of 169, 334, 252, 144, 727
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 334, 252, 144, 727 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 169, 334, 252, 144, 727. So, keep reading to learn more.
Given numbers are 169,334,252,144,727
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,334,252,144,727 is 20682265968.
Find LCM of 169,334,252,144,727 with Prime Factorization
| 2 | 169, 334, 252, 144, 727 |
| 2 | 169, 167, 126, 72, 727 |
| 3 | 169, 167, 63, 36, 727 |
| 3 | 169, 167, 21, 12, 727 |
| 169, 167, 7, 4, 727 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 169 x 167 x 7 x 4 x 727 = 20682265968
Therefore, the lowest common multiple of 169,334,252,144,727 is 20682265968.
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.
169 x 334 x 252 x 144 x 727 = 1489123149696
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.
169 : 1, 13, 169
334 : 1, 2, 167, 334
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
727 : 1, 727
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,334,252,144,727, is 1.
Now, the common factors can be found like this.
169:13x 13
334:2x 167
252:2x 2x 3x 3x 7
144:2x 2x 2x 2x 3x 3
727:727
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 = 1489123149696/(1x72)
LCM = 1489123149696/72
LCM = 20682265968
Thus, we can understand that the LCM of 169,334,252,144,727 is 20682265968.
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FAQs on LCM of 169, 334, 252, 144, 727
1. What is the LCM of 169, 334, 252, 144, 727?
Answer: LCM of 169, 334, 252, 144, 727 is 20682265968.
2. How to calculate the LCM of 169, 334, 252, 144, 727?
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 169, 334, 252, 144, 727.
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}.