LCM of 309, 143, 240, 618, 697
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 143, 240, 618, 697 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 309, 143, 240, 618, 697. So, keep reading to learn more.
Given numbers are 309,143,240,618,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,143,240,618,697 is 2463867120.
Find LCM of 309,143,240,618,697 with Prime Factorization
| 2 | 309, 143, 240, 618, 697 |
| 3 | 309, 143, 120, 309, 697 |
| 103 | 103, 143, 40, 103, 697 |
| 1, 143, 40, 1, 697 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 103 x 1 x 143 x 40 x 1 x 697 = 2463867120
Therefore, the lowest common multiple of 309,143,240,618,697 is 2463867120.
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.
309 x 143 x 240 x 618 x 697 = 4568009640480
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.
309 : 1, 3, 103, 309
143 : 1, 11, 13, 143
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
618 : 1, 2, 3, 6, 103, 206, 309, 618
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,143,240,618,697, is 1.
Now, the common factors can be found like this.
309:3x 103
143:11x 13
240:2x 2x 2x 2x 3x 5
618:2x 3x 103
697:17x 41
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 103 = 1854
Therefore, the value for common factors is 1854.
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 = 4568009640480/(1x1854)
LCM = 4568009640480/1854
LCM = 2463867120
Thus, we can understand that the LCM of 309,143,240,618,697 is 2463867120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 309, 143, 240, 618, 697
1. What is the LCM of 309, 143, 240, 618, 697?
Answer: LCM of 309, 143, 240, 618, 697 is 2463867120.
2. How to calculate the LCM of 309, 143, 240, 618, 697?
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 309, 143, 240, 618, 697.
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}.