LCM of 165, 594, 612, 395, 754
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 165, 594, 612, 395, 754 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 165, 594, 612, 395, 754. So, keep reading to learn more.
Given numbers are 165,594,612,395,754
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 165,594,612,395,754 is 3007487340.
Find LCM of 165,594,612,395,754 with Prime Factorization
| 2 | 165, 594, 612, 395, 754 |
| 3 | 165, 297, 306, 395, 377 |
| 3 | 55, 99, 102, 395, 377 |
| 5 | 55, 33, 34, 395, 377 |
| 11 | 11, 33, 34, 79, 377 |
| 1, 3, 34, 79, 377 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 1 x 3 x 34 x 79 x 377 = 3007487340
Therefore, the lowest common multiple of 165,594,612,395,754 is 3007487340.
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.
165 x 594 x 612 x 395 x 754 = 17864474799600
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.
165 : 1, 3, 5, 11, 15, 33, 55, 165
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
395 : 1, 5, 79, 395
754 : 1, 2, 13, 26, 29, 58, 377, 754
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,594,612,395,754, is 1.
Now, the common factors can be found like this.
165:3x 5x 11
594:2x 3x 3x 3x 11
612:2x 2x 3x 3x 17
395:5x 79
754:2x 13x 29
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 3x 3x 3x 5x 11 = 5940
Therefore, the value for common factors is 5940.
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 = 17864474799600/(1x5940)
LCM = 17864474799600/5940
LCM = 3007487340
Thus, we can understand that the LCM of 165,594,612,395,754 is 3007487340.
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FAQs on LCM of 165, 594, 612, 395, 754
1. What is the LCM of 165, 594, 612, 395, 754?
Answer: LCM of 165, 594, 612, 395, 754 is 3007487340.
2. How to calculate the LCM of 165, 594, 612, 395, 754?
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 165, 594, 612, 395, 754.
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}.