LCM of 561, 609, 609, 967
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 609, 609, 967 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 561, 609, 609, 967. So, keep reading to learn more.
Given numbers are 561,609,609,967
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,609,609,967 is 110124861.
Find LCM of 561,609,609,967 with Prime Factorization
| 3 | 561, 609, 609, 967 |
| 7 | 187, 203, 203, 967 |
| 29 | 187, 29, 29, 967 |
| 187, 1, 1, 967 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 29 x 187 x 1 x 1 x 967 = 110124861
Therefore, the lowest common multiple of 561,609,609,967 is 110124861.
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.
561 x 609 x 609 x 967 = 201198121047
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
609 : 1, 3, 7, 21, 29, 87, 203, 609
609 : 1, 3, 7, 21, 29, 87, 203, 609
967 : 1, 967
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,609,609,967, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
609:3x 7x 29
609:3x 7x 29
967:967
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 29 = 1827
Therefore, the value for common factors is 1827.
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 = 201198121047/(1x1827)
LCM = 201198121047/1827
LCM = 110124861
Thus, we can understand that the LCM of 561,609,609,967 is 110124861.
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FAQs on LCM of 561, 609, 609, 967
1. What is the LCM of 561, 609, 609, 967?
Answer: LCM of 561, 609, 609, 967 is 110124861.
2. How to calculate the LCM of 561, 609, 609, 967?
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 561, 609, 609, 967.
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}.