LCM of 940, 263, 980, 234, 512
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 940, 263, 980, 234, 512 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 940, 263, 980, 234, 512. So, keep reading to learn more.
Given numbers are 940,263,980,234,512
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 940,263,980,234,512 is 181415969280.
Find LCM of 940,263,980,234,512 with Prime Factorization
| 2 | 940, 263, 980, 234, 512 |
| 2 | 470, 263, 490, 117, 256 |
| 5 | 235, 263, 245, 117, 128 |
| 47, 263, 49, 117, 128 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 47 x 263 x 49 x 117 x 128 = 181415969280
Therefore, the lowest common multiple of 940,263,980,234,512 is 181415969280.
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.
940 x 263 x 980 x 234 x 512 = 29026555084800
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.
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
263 : 1, 263
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,263,980,234,512, is 1.
Now, the common factors can be found like this.
940:2x 2x 5x 47
263:263
980:2x 2x 5x 7x 7
234:2x 3x 3x 13
512:2x 2x 2x 2x 2x 2x 2x 2x 2
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 = 29026555084800/(1x160)
LCM = 29026555084800/160
LCM = 181415969280
Thus, we can understand that the LCM of 940,263,980,234,512 is 181415969280.
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FAQs on LCM of 940, 263, 980, 234, 512
1. What is the LCM of 940, 263, 980, 234, 512?
Answer: LCM of 940, 263, 980, 234, 512 is 181415969280.
2. How to calculate the LCM of 940, 263, 980, 234, 512?
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 940, 263, 980, 234, 512.
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}.