LCM of 238, 707, 437, 874, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 238, 707, 437, 874, 832 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, 707, 437, 874, 832. So, keep reading to learn more.
Given numbers are 238,707,437,874,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 238,707,437,874,832 is 4369916096.
Find LCM of 238,707,437,874,832 with Prime Factorization
| 2 | 238, 707, 437, 874, 832 |
| 7 | 119, 707, 437, 437, 416 |
| 19 | 17, 101, 437, 437, 416 |
| 23 | 17, 101, 23, 23, 416 |
| 17, 101, 1, 1, 416 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 23 x 17 x 101 x 1 x 1 x 416 = 4369916096
Therefore, the lowest common multiple of 238,707,437,874,832 is 4369916096.
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 707 x 437 x 874 x 832 = 53470293350656
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
707 : 1, 7, 101, 707
437 : 1, 19, 23, 437
874 : 1, 2, 19, 23, 38, 46, 437, 874
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,707,437,874,832, is 1.
Now, the common factors can be found like this.
238:2x 7x 17
707:7x 101
437:19x 23
874:2x 19x 23
832:2x 2x 2x 2x 2x 2x 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 7x 19x 23 = 12236
Therefore, the value for common factors is 12236.
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 = 53470293350656/(1x12236)
LCM = 53470293350656/12236
LCM = 4369916096
Thus, we can understand that the LCM of 238,707,437,874,832 is 4369916096.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 238, 707, 437, 874, 832
1. What is the LCM of 238, 707, 437, 874, 832?
Answer: LCM of 238, 707, 437, 874, 832 is 4369916096.
2. How to calculate the LCM of 238, 707, 437, 874, 832?
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, 707, 437, 874, 832.
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}.