LCM of 553, 527, 969, 133
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 553, 527, 969, 133 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 553, 527, 969, 133. So, keep reading to learn more.
Given numbers are 553,527,969,133
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 553,527,969,133 is 16611567.
Find LCM of 553,527,969,133 with Prime Factorization
| 7 | 553, 527, 969, 133 |
| 17 | 79, 527, 969, 19 |
| 19 | 79, 31, 57, 19 |
| 79, 31, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
7 x 17 x 19 x 79 x 31 x 3 x 1 = 16611567
Therefore, the lowest common multiple of 553,527,969,133 is 16611567.
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.
553 x 527 x 969 x 133 = 37558752987
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.
553 : 1, 7, 79, 553
527 : 1, 17, 31, 527
969 : 1, 3, 17, 19, 51, 57, 323, 969
133 : 1, 7, 19, 133
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,527,969,133, is 1.
Now, the common factors can be found like this.
553:7x 79
527:17x 31
969:3x 17x 19
133:7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 17x 19 = 2261
Therefore, the value for common factors is 2261.
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 = 37558752987/(1x2261)
LCM = 37558752987/2261
LCM = 16611567
Thus, we can understand that the LCM of 553,527,969,133 is 16611567.
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FAQs on LCM of 553, 527, 969, 133
1. What is the LCM of 553, 527, 969, 133?
Answer: LCM of 553, 527, 969, 133 is 16611567.
2. How to calculate the LCM of 553, 527, 969, 133?
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 553, 527, 969, 133.
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}.