LCM of 707, 404, 753, 592, 109
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 707, 404, 753, 592, 109 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, 404, 753, 592, 109. So, keep reading to learn more.
Given numbers are 707,404,753,592,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 707,404,753,592,109 is 34352835888.
Find LCM of 707,404,753,592,109 with Prime Factorization
| 2 | 707, 404, 753, 592, 109 |
| 2 | 707, 202, 753, 296, 109 |
| 101 | 707, 101, 753, 148, 109 |
| 7, 1, 753, 148, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 101 x 7 x 1 x 753 x 148 x 109 = 34352835888
Therefore, the lowest common multiple of 707,404,753,592,109 is 34352835888.
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 404 x 753 x 592 x 109 = 13878545698752
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
404 : 1, 2, 4, 101, 202, 404
753 : 1, 3, 251, 753
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,404,753,592,109, is 1.
Now, the common factors can be found like this.
707:7x 101
404:2x 2x 101
753:3x 251
592:2x 2x 2x 2x 37
109:109
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 101 = 404
Therefore, the value for common factors is 404.
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 = 13878545698752/(1x404)
LCM = 13878545698752/404
LCM = 34352835888
Thus, we can understand that the LCM of 707,404,753,592,109 is 34352835888.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 707, 404, 753, 592, 109
1. What is the LCM of 707, 404, 753, 592, 109?
Answer: LCM of 707, 404, 753, 592, 109 is 34352835888.
2. How to calculate the LCM of 707, 404, 753, 592, 109?
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, 404, 753, 592, 109.
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}.