LCM of 974, 469, 871, 324, 953
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 974, 469, 871, 324, 953 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 974, 469, 871, 324, 953. So, keep reading to learn more.
Given numbers are 974,469,871,324,953
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,469,871,324,953 is 916817864508.
Find LCM of 974,469,871,324,953 with Prime Factorization
| 2 | 974, 469, 871, 324, 953 |
| 67 | 487, 469, 871, 162, 953 |
| 487, 7, 13, 162, 953 |
Multiply the prime numbers at the bottom and the left side.
2 x 67 x 487 x 7 x 13 x 162 x 953 = 916817864508
Therefore, the lowest common multiple of 974,469,871,324,953 is 916817864508.
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.
974 x 469 x 871 x 324 x 953 = 122853593844072
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.
974 : 1, 2, 487, 974
469 : 1, 7, 67, 469
871 : 1, 13, 67, 871
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
953 : 1, 953
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,469,871,324,953, is 1.
Now, the common factors can be found like this.
974:2x 487
469:7x 67
871:13x 67
324:2x 2x 3x 3x 3x 3
953:953
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 67 = 134
Therefore, the value for common factors is 134.
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 = 122853593844072/(1x134)
LCM = 122853593844072/134
LCM = 916817864508
Thus, we can understand that the LCM of 974,469,871,324,953 is 916817864508.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 974, 469, 871, 324, 953
1. What is the LCM of 974, 469, 871, 324, 953?
Answer: LCM of 974, 469, 871, 324, 953 is 916817864508.
2. How to calculate the LCM of 974, 469, 871, 324, 953?
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 974, 469, 871, 324, 953.
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}.