LCM of 954, 176, 676, 507, 878
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 954, 176, 676, 507, 878 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 954, 176, 676, 507, 878. So, keep reading to learn more.
Given numbers are 954,176,676,507,878
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 954,176,676,507,878 is 6228482832.
Find LCM of 954,176,676,507,878 with Prime Factorization
| 2 | 954, 176, 676, 507, 878 |
| 2 | 477, 88, 338, 507, 439 |
| 3 | 477, 44, 169, 507, 439 |
| 13 | 159, 44, 169, 169, 439 |
| 13 | 159, 44, 13, 13, 439 |
| 159, 44, 1, 1, 439 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 13 x 159 x 44 x 1 x 1 x 439 = 6228482832
Therefore, the lowest common multiple of 954,176,676,507,878 is 6228482832.
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.
954 x 176 x 676 x 507 x 878 = 50525452733184
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.
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
507 : 1, 3, 13, 39, 169, 507
878 : 1, 2, 439, 878
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 954,176,676,507,878, is 1.
Now, the common factors can be found like this.
954:2x 3x 3x 53
176:2x 2x 2x 2x 11
676:2x 2x 13x 13
507:3x 13x 13
878:2x 439
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 2x 2x 3x 13x 13 = 8112
Therefore, the value for common factors is 8112.
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 = 50525452733184/(1x8112)
LCM = 50525452733184/8112
LCM = 6228482832
Thus, we can understand that the LCM of 954,176,676,507,878 is 6228482832.
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FAQs on LCM of 954, 176, 676, 507, 878
1. What is the LCM of 954, 176, 676, 507, 878?
Answer: LCM of 954, 176, 676, 507, 878 is 6228482832.
2. How to calculate the LCM of 954, 176, 676, 507, 878?
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 954, 176, 676, 507, 878.
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}.