LCM of 332, 830, 912, 923, 126
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 332, 830, 912, 923, 126 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 332, 830, 912, 923, 126. So, keep reading to learn more.
Given numbers are 332,830,912,923,126
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 332,830,912,923,126 is 7336077840.
Find LCM of 332,830,912,923,126 with Prime Factorization
| 2 | 332, 830, 912, 923, 126 |
| 2 | 166, 415, 456, 923, 63 |
| 3 | 83, 415, 228, 923, 63 |
| 83 | 83, 415, 76, 923, 21 |
| 1, 5, 76, 923, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 83 x 1 x 5 x 76 x 923 x 21 = 7336077840
Therefore, the lowest common multiple of 332,830,912,923,126 is 7336077840.
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.
332 x 830 x 912 x 923 x 126 = 29226934114560
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.
332 : 1, 2, 4, 83, 166, 332
830 : 1, 2, 5, 10, 83, 166, 415, 830
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
923 : 1, 13, 71, 923
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 332,830,912,923,126, is 1.
Now, the common factors can be found like this.
332:2x 2x 83
830:2x 5x 83
912:2x 2x 2x 2x 3x 19
923:13x 71
126:2x 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 2x 3x 83 = 3984
Therefore, the value for common factors is 3984.
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 = 29226934114560/(1x3984)
LCM = 29226934114560/3984
LCM = 7336077840
Thus, we can understand that the LCM of 332,830,912,923,126 is 7336077840.
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FAQs on LCM of 332, 830, 912, 923, 126
1. What is the LCM of 332, 830, 912, 923, 126?
Answer: LCM of 332, 830, 912, 923, 126 is 7336077840.
2. How to calculate the LCM of 332, 830, 912, 923, 126?
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 332, 830, 912, 923, 126.
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}.