LCM of 555, 508, 962, 813, 954
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 555, 508, 962, 813, 954 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 555, 508, 962, 813, 954. So, keep reading to learn more.
Given numbers are 555,508,962,813,954
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 555,508,962,813,954 is 157930664580.
Find LCM of 555,508,962,813,954 with Prime Factorization
| 2 | 555, 508, 962, 813, 954 |
| 3 | 555, 254, 481, 813, 477 |
| 37 | 185, 254, 481, 271, 159 |
| 5, 254, 13, 271, 159 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 37 x 5 x 254 x 13 x 271 x 159 = 157930664580
Therefore, the lowest common multiple of 555,508,962,813,954 is 157930664580.
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.
555 x 508 x 962 x 813 x 954 = 210363645220560
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.
555 : 1, 3, 5, 15, 37, 111, 185, 555
508 : 1, 2, 4, 127, 254, 508
962 : 1, 2, 13, 26, 37, 74, 481, 962
813 : 1, 3, 271, 813
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 555,508,962,813,954, is 1.
Now, the common factors can be found like this.
555:3x 5x 37
508:2x 2x 127
962:2x 13x 37
813:3x 271
954:2x 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 2x 3x 3x 37 = 1332
Therefore, the value for common factors is 1332.
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 = 210363645220560/(1x1332)
LCM = 210363645220560/1332
LCM = 157930664580
Thus, we can understand that the LCM of 555,508,962,813,954 is 157930664580.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 555, 508, 962, 813, 954
1. What is the LCM of 555, 508, 962, 813, 954?
Answer: LCM of 555, 508, 962, 813, 954 is 157930664580.
2. How to calculate the LCM of 555, 508, 962, 813, 954?
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 555, 508, 962, 813, 954.
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}.