LCM of 378, 998, 537, 162, 234
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 378, 998, 537, 162, 234 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, 998, 537, 162, 234. So, keep reading to learn more.
Given numbers are 378,998,537,162,234
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 378,998,537,162,234 is 1316770182.
Find LCM of 378,998,537,162,234 with Prime Factorization
| 2 | 378, 998, 537, 162, 234 |
| 3 | 189, 499, 537, 81, 117 |
| 3 | 63, 499, 179, 27, 39 |
| 3 | 21, 499, 179, 9, 13 |
| 7, 499, 179, 3, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 499 x 179 x 3 x 13 = 1316770182
Therefore, the lowest common multiple of 378,998,537,162,234 is 1316770182.
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 998 x 537 x 162 x 234 = 7679403701424
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
998 : 1, 2, 499, 998
537 : 1, 3, 179, 537
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,998,537,162,234, is 1.
Now, the common factors can be found like this.
378:2x 3x 3x 3x 7
998:2x 499
537:3x 179
162:2x 3x 3x 3x 3
234:2x 3x 3x 13
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 3x 3 = 5832
Therefore, the value for common factors is 5832.
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 = 7679403701424/(1x5832)
LCM = 7679403701424/5832
LCM = 1316770182
Thus, we can understand that the LCM of 378,998,537,162,234 is 1316770182.
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FAQs on LCM of 378, 998, 537, 162, 234
1. What is the LCM of 378, 998, 537, 162, 234?
Answer: LCM of 378, 998, 537, 162, 234 is 1316770182.
2. How to calculate the LCM of 378, 998, 537, 162, 234?
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, 998, 537, 162, 234.
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}.