LCM of 754, 720, 612, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 754, 720, 612, 309 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 754, 720, 612, 309. So, keep reading to learn more.
Given numbers are 754,720,612,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,720,612,309 is 475291440.
Find LCM of 754,720,612,309 with Prime Factorization
| 2 | 754, 720, 612, 309 |
| 2 | 377, 360, 306, 309 |
| 3 | 377, 180, 153, 309 |
| 3 | 377, 60, 51, 103 |
| 377, 20, 17, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 377 x 20 x 17 x 103 = 475291440
Therefore, the lowest common multiple of 754,720,612,309 is 475291440.
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.
754 x 720 x 612 x 309 = 102662951040
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.
754 : 1, 2, 13, 26, 29, 58, 377, 754
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,720,612,309, is 1.
Now, the common factors can be found like this.
754:2x 13x 29
720:2x 2x 2x 2x 3x 3x 5
612:2x 2x 3x 3x 17
309:3x 103
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 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 102662951040/(1x216)
LCM = 102662951040/216
LCM = 475291440
Thus, we can understand that the LCM of 754,720,612,309 is 475291440.
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FAQs on LCM of 754, 720, 612, 309
1. What is the LCM of 754, 720, 612, 309?
Answer: LCM of 754, 720, 612, 309 is 475291440.
2. How to calculate the LCM of 754, 720, 612, 309?
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 754, 720, 612, 309.
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}.