LCM of 479, 762, 381, 555
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 479, 762, 381, 555 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 479, 762, 381, 555. So, keep reading to learn more.
Given numbers are 479,762,381,555
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 479,762,381,555 is 67524630.
Find LCM of 479,762,381,555 with Prime Factorization
| 3 | 479, 762, 381, 555 |
| 127 | 479, 254, 127, 185 |
| 479, 2, 1, 185 |
Multiply the prime numbers at the bottom and the left side.
3 x 127 x 479 x 2 x 1 x 185 = 67524630
Therefore, the lowest common multiple of 479,762,381,555 is 67524630.
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.
479 x 762 x 381 x 555 = 77180652090
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.
479 : 1, 479
762 : 1, 2, 3, 6, 127, 254, 381, 762
381 : 1, 3, 127, 381
555 : 1, 3, 5, 15, 37, 111, 185, 555
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,762,381,555, is 1.
Now, the common factors can be found like this.
479:479
762:2x 3x 127
381:3x 127
555:3x 5x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 127 = 1143
Therefore, the value for common factors is 1143.
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 = 77180652090/(1x1143)
LCM = 77180652090/1143
LCM = 67524630
Thus, we can understand that the LCM of 479,762,381,555 is 67524630.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 479, 762, 381, 555
1. What is the LCM of 479, 762, 381, 555?
Answer: LCM of 479, 762, 381, 555 is 67524630.
2. How to calculate the LCM of 479, 762, 381, 555?
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 479, 762, 381, 555.
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}.