LCM of 211, 844, 924, 766, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 211, 844, 924, 766, 567 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 211, 844, 924, 766, 567. So, keep reading to learn more.
Given numbers are 211,844,924,766,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 211,844,924,766,567 is 2016122724.
Find LCM of 211,844,924,766,567 with Prime Factorization
| 2 | 211, 844, 924, 766, 567 |
| 2 | 211, 422, 462, 383, 567 |
| 3 | 211, 211, 231, 383, 567 |
| 7 | 211, 211, 77, 383, 189 |
| 211 | 211, 211, 11, 383, 27 |
| 1, 1, 11, 383, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 211 x 1 x 1 x 11 x 383 x 27 = 2016122724
Therefore, the lowest common multiple of 211,844,924,766,567 is 2016122724.
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.
211 x 844 x 924 x 766 x 567 = 71467518320352
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.
211 : 1, 211
844 : 1, 2, 4, 211, 422, 844
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
766 : 1, 2, 383, 766
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,844,924,766,567, is 1.
Now, the common factors can be found like this.
211:211
844:2x 2x 211
924:2x 2x 3x 7x 11
766:2x 383
567:3x 3x 3x 3x 7
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 3x 7x 211 = 35448
Therefore, the value for common factors is 35448.
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 = 71467518320352/(1x35448)
LCM = 71467518320352/35448
LCM = 2016122724
Thus, we can understand that the LCM of 211,844,924,766,567 is 2016122724.
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FAQs on LCM of 211, 844, 924, 766, 567
1. What is the LCM of 211, 844, 924, 766, 567?
Answer: LCM of 211, 844, 924, 766, 567 is 2016122724.
2. How to calculate the LCM of 211, 844, 924, 766, 567?
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 211, 844, 924, 766, 567.
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}.