LCM of 378, 269, 162, 234, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 378, 269, 162, 234, 874 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 378, 269, 162, 234, 874. So, keep reading to learn more.
Given numbers are 378,269,162,234,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 378,269,162,234,874 is 1732966326.
Find LCM of 378,269,162,234,874 with Prime Factorization
| 2 | 378, 269, 162, 234, 874 |
| 3 | 189, 269, 81, 117, 437 |
| 3 | 63, 269, 27, 39, 437 |
| 3 | 21, 269, 9, 13, 437 |
| 7, 269, 3, 13, 437 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 269 x 3 x 13 x 437 = 1732966326
Therefore, the lowest common multiple of 378,269,162,234,874 is 1732966326.
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.
378 x 269 x 162 x 234 x 874 = 3368886537744
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.
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
269 : 1, 269
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,269,162,234,874, is 1.
Now, the common factors can be found like this.
378:2x 3x 3x 3x 7
269:269
162:2x 3x 3x 3x 3
234:2x 3x 3x 13
874:2x 19x 23
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 3x 3x 3x 3 = 1944
Therefore, the value for common factors is 1944.
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 = 3368886537744/(1x1944)
LCM = 3368886537744/1944
LCM = 1732966326
Thus, we can understand that the LCM of 378,269,162,234,874 is 1732966326.
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FAQs on LCM of 378, 269, 162, 234, 874
1. What is the LCM of 378, 269, 162, 234, 874?
Answer: LCM of 378, 269, 162, 234, 874 is 1732966326.
2. How to calculate the LCM of 378, 269, 162, 234, 874?
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 378, 269, 162, 234, 874.
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}.