LCM of 838, 132, 759, 437
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 838, 132, 759, 437 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 838, 132, 759, 437. So, keep reading to learn more.
Given numbers are 838,132,759,437
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 838,132,759,437 is 24169596.
Find LCM of 838,132,759,437 with Prime Factorization
| 2 | 838, 132, 759, 437 |
| 3 | 419, 66, 759, 437 |
| 11 | 419, 22, 253, 437 |
| 23 | 419, 2, 23, 437 |
| 419, 2, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 23 x 419 x 2 x 1 x 19 = 24169596
Therefore, the lowest common multiple of 838,132,759,437 is 24169596.
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.
838 x 132 x 759 x 437 = 36689446728
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.
838 : 1, 2, 419, 838
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
759 : 1, 3, 11, 23, 33, 69, 253, 759
437 : 1, 19, 23, 437
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,132,759,437, is 1.
Now, the common factors can be found like this.
838:2x 419
132:2x 2x 3x 11
759:3x 11x 23
437:19x 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 3x 11x 23 = 1518
Therefore, the value for common factors is 1518.
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 = 36689446728/(1x1518)
LCM = 36689446728/1518
LCM = 24169596
Thus, we can understand that the LCM of 838,132,759,437 is 24169596.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 838, 132, 759, 437
1. What is the LCM of 838, 132, 759, 437?
Answer: LCM of 838, 132, 759, 437 is 24169596.
2. How to calculate the LCM of 838, 132, 759, 437?
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 838, 132, 759, 437.
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}.