LCM of 276, 784, 109, 644, 356
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 276, 784, 109, 644, 356 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 276, 784, 109, 644, 356. So, keep reading to learn more.
Given numbers are 276,784,109,644,356
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 276,784,109,644,356 is 524785296.
Find LCM of 276,784,109,644,356 with Prime Factorization
| 2 | 276, 784, 109, 644, 356 |
| 2 | 138, 392, 109, 322, 178 |
| 7 | 69, 196, 109, 161, 89 |
| 23 | 69, 28, 109, 23, 89 |
| 3, 28, 109, 1, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 23 x 3 x 28 x 109 x 1 x 89 = 524785296
Therefore, the lowest common multiple of 276,784,109,644,356 is 524785296.
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.
276 x 784 x 109 x 644 x 356 = 5407387689984
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.
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
109 : 1, 109
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
356 : 1, 2, 4, 89, 178, 356
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,784,109,644,356, is 1.
Now, the common factors can be found like this.
276:2x 2x 3x 23
784:2x 2x 2x 2x 7x 7
109:109
644:2x 2x 7x 23
356:2x 2x 89
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 7x 23 = 10304
Therefore, the value for common factors is 10304.
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 = 5407387689984/(1x10304)
LCM = 5407387689984/10304
LCM = 524785296
Thus, we can understand that the LCM of 276,784,109,644,356 is 524785296.
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FAQs on LCM of 276, 784, 109, 644, 356
1. What is the LCM of 276, 784, 109, 644, 356?
Answer: LCM of 276, 784, 109, 644, 356 is 524785296.
2. How to calculate the LCM of 276, 784, 109, 644, 356?
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 276, 784, 109, 644, 356.
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}.