LCM of 182, 124, 298, 924, 156
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 182, 124, 298, 924, 156 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 182, 124, 298, 924, 156. So, keep reading to learn more.
Given numbers are 182,124,298,924,156
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 182,124,298,924,156 is 55483428.
Find LCM of 182,124,298,924,156 with Prime Factorization
| 2 | 182, 124, 298, 924, 156 |
| 2 | 91, 62, 149, 462, 78 |
| 3 | 91, 31, 149, 231, 39 |
| 7 | 91, 31, 149, 77, 13 |
| 13 | 13, 31, 149, 11, 13 |
| 1, 31, 149, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 1 x 31 x 149 x 11 x 1 = 55483428
Therefore, the lowest common multiple of 182,124,298,924,156 is 55483428.
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.
182 x 124 x 298 x 924 x 156 = 969406454016
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.
182 : 1, 2, 7, 13, 14, 26, 91, 182
124 : 1, 2, 4, 31, 62, 124
298 : 1, 2, 149, 298
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,124,298,924,156, is 2.
Now, the common factors can be found like this.
182:2x 7x 13
124:2x 2x 31
298:2x 149
924:2x 2x 3x 7x 11
156:2x 2x 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 2x 2x 3x 7x 13 = 8736
Therefore, the value for common factors is 8736.
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 = 969406454016/(2x8736)
LCM = 969406454016/17472
LCM = 55483428
Thus, we can understand that the LCM of 182,124,298,924,156 is 55483428.
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FAQs on LCM of 182, 124, 298, 924, 156
1. What is the LCM of 182, 124, 298, 924, 156?
Answer: LCM of 182, 124, 298, 924, 156 is 55483428.
2. How to calculate the LCM of 182, 124, 298, 924, 156?
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 182, 124, 298, 924, 156.
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}.