LCM of 238, 894, 182, 457, 696
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 238, 894, 182, 457, 696 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 238, 894, 182, 457, 696. So, keep reading to learn more.
Given numbers are 238,894,182,457,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 238,894,182,457,696 is 73316550216.
Find LCM of 238,894,182,457,696 with Prime Factorization
| 2 | 238, 894, 182, 457, 696 |
| 3 | 119, 447, 91, 457, 348 |
| 7 | 119, 149, 91, 457, 116 |
| 17, 149, 13, 457, 116 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 149 x 13 x 457 x 116 = 73316550216
Therefore, the lowest common multiple of 238,894,182,457,696 is 73316550216.
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.
238 x 894 x 182 x 457 x 696 = 12317180436288
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.
238 : 1, 2, 7, 14, 17, 34, 119, 238
894 : 1, 2, 3, 6, 149, 298, 447, 894
182 : 1, 2, 7, 13, 14, 26, 91, 182
457 : 1, 457
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,894,182,457,696, is 1.
Now, the common factors can be found like this.
238:2x 7x 17
894:2x 3x 149
182:2x 7x 13
457:457
696:2x 2x 2x 3x 29
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 7 = 168
Therefore, the value for common factors is 168.
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 = 12317180436288/(1x168)
LCM = 12317180436288/168
LCM = 73316550216
Thus, we can understand that the LCM of 238,894,182,457,696 is 73316550216.
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FAQs on LCM of 238, 894, 182, 457, 696
1. What is the LCM of 238, 894, 182, 457, 696?
Answer: LCM of 238, 894, 182, 457, 696 is 73316550216.
2. How to calculate the LCM of 238, 894, 182, 457, 696?
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 238, 894, 182, 457, 696.
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}.