LCM of 567, 201, 451, 776
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 567, 201, 451, 776 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 567, 201, 451, 776. So, keep reading to learn more.
Given numbers are 567,201,451,776
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,201,451,776 is 13295238264.
Find LCM of 567,201,451,776 with Prime Factorization
| 3 | 567, 201, 451, 776 |
| 189, 67, 451, 776 |
Multiply the prime numbers at the bottom and the left side.
3 x 189 x 67 x 451 x 776 = 13295238264
Therefore, the lowest common multiple of 567,201,451,776 is 13295238264.
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.
567 x 201 x 451 x 776 = 39885714792
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
201 : 1, 3, 67, 201
451 : 1, 11, 41, 451
776 : 1, 2, 4, 8, 97, 194, 388, 776
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,201,451,776, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
201:3x 67
451:11x 41
776:2x 2x 2x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 39885714792/(1x3)
LCM = 39885714792/3
LCM = 13295238264
Thus, we can understand that the LCM of 567,201,451,776 is 13295238264.
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FAQs on LCM of 567, 201, 451, 776
1. What is the LCM of 567, 201, 451, 776?
Answer: LCM of 567, 201, 451, 776 is 13295238264.
2. How to calculate the LCM of 567, 201, 451, 776?
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 567, 201, 451, 776.
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}.