LCM of 213, 635, 762, 276
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 213, 635, 762, 276 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 213, 635, 762, 276. So, keep reading to learn more.
Given numbers are 213,635,762,276
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 213,635,762,276 is 12443460.
Find LCM of 213,635,762,276 with Prime Factorization
| 2 | 213, 635, 762, 276 |
| 3 | 213, 635, 381, 138 |
| 127 | 71, 635, 127, 46 |
| 71, 5, 1, 46 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 127 x 71 x 5 x 1 x 46 = 12443460
Therefore, the lowest common multiple of 213,635,762,276 is 12443460.
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.
213 x 635 x 762 x 276 = 28445749560
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.
213 : 1, 3, 71, 213
635 : 1, 5, 127, 635
762 : 1, 2, 3, 6, 127, 254, 381, 762
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,635,762,276, is 1.
Now, the common factors can be found like this.
213:3x 71
635:5x 127
762:2x 3x 127
276:2x 2x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 127 = 2286
Therefore, the value for common factors is 2286.
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 = 28445749560/(1x2286)
LCM = 28445749560/2286
LCM = 12443460
Thus, we can understand that the LCM of 213,635,762,276 is 12443460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 213, 635, 762, 276
1. What is the LCM of 213, 635, 762, 276?
Answer: LCM of 213, 635, 762, 276 is 12443460.
2. How to calculate the LCM of 213, 635, 762, 276?
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 213, 635, 762, 276.
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}.