LCM of 538, 762, 407, 851, 477
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 762, 407, 851, 477 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 538, 762, 407, 851, 477. So, keep reading to learn more.
Given numbers are 538,762,407,851,477
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,762,407,851,477 is 305089050222.
Find LCM of 538,762,407,851,477 with Prime Factorization
| 2 | 538, 762, 407, 851, 477 |
| 3 | 269, 381, 407, 851, 477 |
| 37 | 269, 127, 407, 851, 159 |
| 269, 127, 11, 23, 159 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 37 x 269 x 127 x 11 x 23 x 159 = 305089050222
Therefore, the lowest common multiple of 538,762,407,851,477 is 305089050222.
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.
538 x 762 x 407 x 851 x 477 = 67729769149284
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.
538 : 1, 2, 269, 538
762 : 1, 2, 3, 6, 127, 254, 381, 762
407 : 1, 11, 37, 407
851 : 1, 23, 37, 851
477 : 1, 3, 9, 53, 159, 477
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,762,407,851,477, is 1.
Now, the common factors can be found like this.
538:2x 269
762:2x 3x 127
407:11x 37
851:23x 37
477:3x 3x 53
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 37 = 222
Therefore, the value for common factors is 222.
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 = 67729769149284/(1x222)
LCM = 67729769149284/222
LCM = 305089050222
Thus, we can understand that the LCM of 538,762,407,851,477 is 305089050222.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 538, 762, 407, 851, 477
1. What is the LCM of 538, 762, 407, 851, 477?
Answer: LCM of 538, 762, 407, 851, 477 is 305089050222.
2. How to calculate the LCM of 538, 762, 407, 851, 477?
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 538, 762, 407, 851, 477.
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}.