LCM of 209, 400, 741, 315
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 209, 400, 741, 315 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 209, 400, 741, 315. So, keep reading to learn more.
Given numbers are 209,400,741,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,400,741,315 is 68468400.
Find LCM of 209,400,741,315 with Prime Factorization
| 3 | 209, 400, 741, 315 |
| 5 | 209, 400, 247, 105 |
| 19 | 209, 80, 247, 21 |
| 11, 80, 13, 21 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 19 x 11 x 80 x 13 x 21 = 68468400
Therefore, the lowest common multiple of 209,400,741,315 is 68468400.
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.
209 x 400 x 741 x 315 = 19513494000
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.
209 : 1, 11, 19, 209
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
741 : 1, 3, 13, 19, 39, 57, 247, 741
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,400,741,315, is 1.
Now, the common factors can be found like this.
209:11x 19
400:2x 2x 2x 2x 5x 5
741:3x 13x 19
315:3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 19 = 285
Therefore, the value for common factors is 285.
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 = 19513494000/(1x285)
LCM = 19513494000/285
LCM = 68468400
Thus, we can understand that the LCM of 209,400,741,315 is 68468400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 209, 400, 741, 315
1. What is the LCM of 209, 400, 741, 315?
Answer: LCM of 209, 400, 741, 315 is 68468400.
2. How to calculate the LCM of 209, 400, 741, 315?
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 209, 400, 741, 315.
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}.