LCM of 183, 320, 512, 686, 970
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 183, 320, 512, 686, 970 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 183, 320, 512, 686, 970. So, keep reading to learn more.
Given numbers are 183,320,512,686,970
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 183,320,512,686,970 is 15586798080.
Find LCM of 183,320,512,686,970 with Prime Factorization
| 2 | 183, 320, 512, 686, 970 |
| 2 | 183, 160, 256, 343, 485 |
| 2 | 183, 80, 128, 343, 485 |
| 2 | 183, 40, 64, 343, 485 |
| 2 | 183, 20, 32, 343, 485 |
| 2 | 183, 10, 16, 343, 485 |
| 5 | 183, 5, 8, 343, 485 |
| 183, 1, 8, 343, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 5 x 183 x 1 x 8 x 343 x 97 = 15586798080
Therefore, the lowest common multiple of 183,320,512,686,970 is 15586798080.
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.
183 x 320 x 512 x 686 x 970 = 19951101542400
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.
183 : 1, 3, 61, 183
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
686 : 1, 2, 7, 14, 49, 98, 343, 686
970 : 1, 2, 5, 10, 97, 194, 485, 970
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 183,320,512,686,970, is 1.
Now, the common factors can be found like this.
183:3x 61
320:2x 2x 2x 2x 2x 2x 5
512:2x 2x 2x 2x 2x 2x 2x 2x 2
686:2x 7x 7x 7
970:2x 5x 97
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 2x 2x 2x 5 = 1280
Therefore, the value for common factors is 1280.
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 = 19951101542400/(1x1280)
LCM = 19951101542400/1280
LCM = 15586798080
Thus, we can understand that the LCM of 183,320,512,686,970 is 15586798080.
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FAQs on LCM of 183, 320, 512, 686, 970
1. What is the LCM of 183, 320, 512, 686, 970?
Answer: LCM of 183, 320, 512, 686, 970 is 15586798080.
2. How to calculate the LCM of 183, 320, 512, 686, 970?
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 183, 320, 512, 686, 970.
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}.