LCM of 707, 338, 651, 663, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 707, 338, 651, 663, 105 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 707, 338, 651, 663, 105. So, keep reading to learn more.
Given numbers are 707,338,651,663,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 707,338,651,663,105 is 1889026230.
Find LCM of 707,338,651,663,105 with Prime Factorization
| 3 | 707, 338, 651, 663, 105 |
| 7 | 707, 338, 217, 221, 35 |
| 13 | 101, 338, 31, 221, 5 |
| 101, 26, 31, 17, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 13 x 101 x 26 x 31 x 17 x 5 = 1889026230
Therefore, the lowest common multiple of 707,338,651,663,105 is 1889026230.
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.
707 x 338 x 651 x 663 x 105 = 10829787376590
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.
707 : 1, 7, 101, 707
338 : 1, 2, 13, 26, 169, 338
651 : 1, 3, 7, 21, 31, 93, 217, 651
663 : 1, 3, 13, 17, 39, 51, 221, 663
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,338,651,663,105, is 1.
Now, the common factors can be found like this.
707:7x 101
338:2x 13x 13
651:3x 7x 31
663:3x 13x 17
105:3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 7x 13 = 5733
Therefore, the value for common factors is 5733.
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 = 10829787376590/(1x5733)
LCM = 10829787376590/5733
LCM = 1889026230
Thus, we can understand that the LCM of 707,338,651,663,105 is 1889026230.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 707, 338, 651, 663, 105
1. What is the LCM of 707, 338, 651, 663, 105?
Answer: LCM of 707, 338, 651, 663, 105 is 1889026230.
2. How to calculate the LCM of 707, 338, 651, 663, 105?
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 707, 338, 651, 663, 105.
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}.