LCM of 297, 659, 160, 640, 697
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 297, 659, 160, 640, 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 297, 659, 160, 640, 697. So, keep reading to learn more.
Given numbers are 297,659,160,640,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 297,659,160,640,697 is 87308115840.
Find LCM of 297,659,160,640,697 with Prime Factorization
| 2 | 297, 659, 160, 640, 697 |
| 2 | 297, 659, 80, 320, 697 |
| 2 | 297, 659, 40, 160, 697 |
| 2 | 297, 659, 20, 80, 697 |
| 2 | 297, 659, 10, 40, 697 |
| 5 | 297, 659, 5, 20, 697 |
| 297, 659, 1, 4, 697 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 5 x 297 x 659 x 1 x 4 x 697 = 87308115840
Therefore, the lowest common multiple of 297,659,160,640,697 is 87308115840.
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.
297 x 659 x 160 x 640 x 697 = 13969298534400
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.
297 : 1, 3, 9, 11, 27, 33, 99, 297
659 : 1, 659
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,659,160,640,697, is 1.
Now, the common factors can be found like this.
297:3x 3x 3x 11
659:659
160:2x 2x 2x 2x 2x 5
640:2x 2x 2x 2x 2x 2x 2x 5
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 2x 2x 2x 2x 5 = 160
Therefore, the value for common factors is 160.
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 = 13969298534400/(1x160)
LCM = 13969298534400/160
LCM = 87308115840
Thus, we can understand that the LCM of 297,659,160,640,697 is 87308115840.
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FAQs on LCM of 297, 659, 160, 640, 697
1. What is the LCM of 297, 659, 160, 640, 697?
Answer: LCM of 297, 659, 160, 640, 697 is 87308115840.
2. How to calculate the LCM of 297, 659, 160, 640, 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 297, 659, 160, 640, 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}.