LCM of 146, 538, 689, 292, 927
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 146, 538, 689, 292, 927 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 146, 538, 689, 292, 927. So, keep reading to learn more.
Given numbers are 146,538,689,292,927
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,538,689,292,927 is 50168843244.
Find LCM of 146,538,689,292,927 with Prime Factorization
| 2 | 146, 538, 689, 292, 927 |
| 73 | 73, 269, 689, 146, 927 |
| 1, 269, 689, 2, 927 |
Multiply the prime numbers at the bottom and the left side.
2 x 73 x 1 x 269 x 689 x 2 x 927 = 50168843244
Therefore, the lowest common multiple of 146,538,689,292,927 is 50168843244.
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.
146 x 538 x 689 x 292 x 927 = 14649302227248
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.
146 : 1, 2, 73, 146
538 : 1, 2, 269, 538
689 : 1, 13, 53, 689
292 : 1, 2, 4, 73, 146, 292
927 : 1, 3, 9, 103, 309, 927
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,538,689,292,927, is 1.
Now, the common factors can be found like this.
146:2x 73
538:2x 269
689:13x 53
292:2x 2x 73
927:3x 3x 103
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 73 = 292
Therefore, the value for common factors is 292.
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 = 14649302227248/(1x292)
LCM = 14649302227248/292
LCM = 50168843244
Thus, we can understand that the LCM of 146,538,689,292,927 is 50168843244.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 146, 538, 689, 292, 927
1. What is the LCM of 146, 538, 689, 292, 927?
Answer: LCM of 146, 538, 689, 292, 927 is 50168843244.
2. How to calculate the LCM of 146, 538, 689, 292, 927?
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 146, 538, 689, 292, 927.
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}.