LCM of 612, 973, 632, 755, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 612, 973, 632, 755, 923 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 612, 973, 632, 755, 923. So, keep reading to learn more.
Given numbers are 612,973,632,755,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,973,632,755,923 is 65564688472920.
Find LCM of 612,973,632,755,923 with Prime Factorization
| 2 | 612, 973, 632, 755, 923 |
| 2 | 306, 973, 316, 755, 923 |
| 153, 973, 158, 755, 923 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 153 x 973 x 158 x 755 x 923 = 65564688472920
Therefore, the lowest common multiple of 612,973,632,755,923 is 65564688472920.
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.
612 x 973 x 632 x 755 x 923 = 262258753891680
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.
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
973 : 1, 7, 139, 973
632 : 1, 2, 4, 8, 79, 158, 316, 632
755 : 1, 5, 151, 755
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,973,632,755,923, is 1.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
973:7x 139
632:2x 2x 2x 79
755:5x 151
923:13x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 262258753891680/(1x4)
LCM = 262258753891680/4
LCM = 65564688472920
Thus, we can understand that the LCM of 612,973,632,755,923 is 65564688472920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 612, 973, 632, 755, 923
1. What is the LCM of 612, 973, 632, 755, 923?
Answer: LCM of 612, 973, 632, 755, 923 is 65564688472920.
2. How to calculate the LCM of 612, 973, 632, 755, 923?
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 612, 973, 632, 755, 923.
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}.