LCM of 975, 705, 209, 512, 369
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 975, 705, 209, 512, 369 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 975, 705, 209, 512, 369. So, keep reading to learn more.
Given numbers are 975,705,209,512,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 975,705,209,512,369 is 603147916800.
Find LCM of 975,705,209,512,369 with Prime Factorization
| 3 | 975, 705, 209, 512, 369 |
| 5 | 325, 235, 209, 512, 123 |
| 65, 47, 209, 512, 123 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 65 x 47 x 209 x 512 x 123 = 603147916800
Therefore, the lowest common multiple of 975,705,209,512,369 is 603147916800.
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.
975 x 705 x 209 x 512 x 369 = 27141656256000
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.
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
705 : 1, 3, 5, 15, 47, 141, 235, 705
209 : 1, 11, 19, 209
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,705,209,512,369, is 1.
Now, the common factors can be found like this.
975:3x 5x 5x 13
705:3x 5x 47
209:11x 19
512:2x 2x 2x 2x 2x 2x 2x 2x 2
369:3x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5 = 45
Therefore, the value for common factors is 45.
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 = 27141656256000/(1x45)
LCM = 27141656256000/45
LCM = 603147916800
Thus, we can understand that the LCM of 975,705,209,512,369 is 603147916800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 975, 705, 209, 512, 369
1. What is the LCM of 975, 705, 209, 512, 369?
Answer: LCM of 975, 705, 209, 512, 369 is 603147916800.
2. How to calculate the LCM of 975, 705, 209, 512, 369?
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 975, 705, 209, 512, 369.
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}.