LCM of 567, 359, 989, 966, 123
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 567, 359, 989, 966, 123 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, 359, 989, 966, 123. So, keep reading to learn more.
Given numbers are 567,359,989,966,123
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,359,989,966,123 is 16507741194.
Find LCM of 567,359,989,966,123 with Prime Factorization
| 3 | 567, 359, 989, 966, 123 |
| 7 | 189, 359, 989, 322, 41 |
| 23 | 27, 359, 989, 46, 41 |
| 27, 359, 43, 2, 41 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 23 x 27 x 359 x 43 x 2 x 41 = 16507741194
Therefore, the lowest common multiple of 567,359,989,966,123 is 16507741194.
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 359 x 989 x 966 x 123 = 23919716990106
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
359 : 1, 359
989 : 1, 23, 43, 989
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
123 : 1, 3, 41, 123
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,359,989,966,123, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
359:359
989:23x 43
966:2x 3x 7x 23
123:3x 41
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 23 = 1449
Therefore, the value for common factors is 1449.
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 = 23919716990106/(1x1449)
LCM = 23919716990106/1449
LCM = 16507741194
Thus, we can understand that the LCM of 567,359,989,966,123 is 16507741194.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 567, 359, 989, 966, 123
1. What is the LCM of 567, 359, 989, 966, 123?
Answer: LCM of 567, 359, 989, 966, 123 is 16507741194.
2. How to calculate the LCM of 567, 359, 989, 966, 123?
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, 359, 989, 966, 123.
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}.