LCM of 521, 121, 968, 752, 297
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 521, 121, 968, 752, 297 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 521, 121, 968, 752, 297. So, keep reading to learn more.
Given numbers are 521,121,968,752,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 521,121,968,752,297 is 1279984464.
Find LCM of 521,121,968,752,297 with Prime Factorization
| 2 | 521, 121, 968, 752, 297 |
| 2 | 521, 121, 484, 376, 297 |
| 2 | 521, 121, 242, 188, 297 |
| 11 | 521, 121, 121, 94, 297 |
| 11 | 521, 11, 11, 94, 27 |
| 521, 1, 1, 94, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 11 x 521 x 1 x 1 x 94 x 27 = 1279984464
Therefore, the lowest common multiple of 521,121,968,752,297 is 1279984464.
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.
521 x 121 x 968 x 752 x 297 = 13629274572672
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.
521 : 1, 521
121 : 1, 11, 121
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,121,968,752,297, is 1.
Now, the common factors can be found like this.
521:521
121:11x 11
968:2x 2x 2x 11x 11
752:2x 2x 2x 2x 47
297:3x 3x 3x 11
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 11x 11x 11 = 10648
Therefore, the value for common factors is 10648.
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 = 13629274572672/(1x10648)
LCM = 13629274572672/10648
LCM = 1279984464
Thus, we can understand that the LCM of 521,121,968,752,297 is 1279984464.
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FAQs on LCM of 521, 121, 968, 752, 297
1. What is the LCM of 521, 121, 968, 752, 297?
Answer: LCM of 521, 121, 968, 752, 297 is 1279984464.
2. How to calculate the LCM of 521, 121, 968, 752, 297?
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 521, 121, 968, 752, 297.
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}.