LCM of 114, 874, 411, 838
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 114, 874, 411, 838 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 114, 874, 411, 838. So, keep reading to learn more.
Given numbers are 114,874,411,838
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 114,874,411,838 is 150510666.
Find LCM of 114,874,411,838 with Prime Factorization
| 2 | 114, 874, 411, 838 |
| 3 | 57, 437, 411, 419 |
| 19 | 19, 437, 137, 419 |
| 1, 23, 137, 419 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 1 x 23 x 137 x 419 = 150510666
Therefore, the lowest common multiple of 114,874,411,838 is 150510666.
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.
114 x 874 x 411 x 838 = 34316431848
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.
114 : 1, 2, 3, 6, 19, 38, 57, 114
874 : 1, 2, 19, 23, 38, 46, 437, 874
411 : 1, 3, 137, 411
838 : 1, 2, 419, 838
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,874,411,838, is 1.
Now, the common factors can be found like this.
114:2x 3x 19
874:2x 19x 23
411:3x 137
838:2x 419
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 3x 19 = 228
Therefore, the value for common factors is 228.
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 = 34316431848/(1x228)
LCM = 34316431848/228
LCM = 150510666
Thus, we can understand that the LCM of 114,874,411,838 is 150510666.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 114, 874, 411, 838
1. What is the LCM of 114, 874, 411, 838?
Answer: LCM of 114, 874, 411, 838 is 150510666.
2. How to calculate the LCM of 114, 874, 411, 838?
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 114, 874, 411, 838.
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}.