LCM of 507, 772, 676, 908, 964
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 507, 772, 676, 908, 964 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 507, 772, 676, 908, 964. So, keep reading to learn more.
Given numbers are 507,772,676,908,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,772,676,908,964 is 21412538628.
Find LCM of 507,772,676,908,964 with Prime Factorization
| 2 | 507, 772, 676, 908, 964 |
| 2 | 507, 386, 338, 454, 482 |
| 13 | 507, 193, 169, 227, 241 |
| 13 | 39, 193, 13, 227, 241 |
| 3, 193, 1, 227, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 13 x 3 x 193 x 1 x 227 x 241 = 21412538628
Therefore, the lowest common multiple of 507,772,676,908,964 is 21412538628.
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.
507 x 772 x 676 x 908 x 964 = 231598017800448
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.
507 : 1, 3, 13, 39, 169, 507
772 : 1, 2, 4, 193, 386, 772
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
908 : 1, 2, 4, 227, 454, 908
964 : 1, 2, 4, 241, 482, 964
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,772,676,908,964, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
772:2x 2x 193
676:2x 2x 13x 13
908:2x 2x 227
964:2x 2x 241
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 2x 2x 13x 13 = 10816
Therefore, the value for common factors is 10816.
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 = 231598017800448/(1x10816)
LCM = 231598017800448/10816
LCM = 21412538628
Thus, we can understand that the LCM of 507,772,676,908,964 is 21412538628.
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FAQs on LCM of 507, 772, 676, 908, 964
1. What is the LCM of 507, 772, 676, 908, 964?
Answer: LCM of 507, 772, 676, 908, 964 is 21412538628.
2. How to calculate the LCM of 507, 772, 676, 908, 964?
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 507, 772, 676, 908, 964.
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}.