LCM of 695, 707, 825, 360, 400
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 695, 707, 825, 360, 400 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 695, 707, 825, 360, 400. So, keep reading to learn more.
Given numbers are 695,707,825,360,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 695,707,825,360,400 is 3891610800.
Find LCM of 695,707,825,360,400 with Prime Factorization
| 2 | 695, 707, 825, 360, 400 |
| 2 | 695, 707, 825, 180, 200 |
| 2 | 695, 707, 825, 90, 100 |
| 3 | 695, 707, 825, 45, 50 |
| 5 | 695, 707, 275, 15, 50 |
| 5 | 139, 707, 55, 3, 10 |
| 139, 707, 11, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 5 x 139 x 707 x 11 x 3 x 2 = 3891610800
Therefore, the lowest common multiple of 695,707,825,360,400 is 3891610800.
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.
695 x 707 x 825 x 360 x 400 = 58374162000000
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.
695 : 1, 5, 139, 695
707 : 1, 7, 101, 707
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,707,825,360,400, is 1.
Now, the common factors can be found like this.
695:5x 139
707:7x 101
825:3x 5x 5x 11
360:2x 2x 2x 3x 3x 5
400:2x 2x 2x 2x 5x 5
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 2x 3x 5x 5x 5x 5 = 15000
Therefore, the value for common factors is 15000.
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 = 58374162000000/(1x15000)
LCM = 58374162000000/15000
LCM = 3891610800
Thus, we can understand that the LCM of 695,707,825,360,400 is 3891610800.
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FAQs on LCM of 695, 707, 825, 360, 400
1. What is the LCM of 695, 707, 825, 360, 400?
Answer: LCM of 695, 707, 825, 360, 400 is 3891610800.
2. How to calculate the LCM of 695, 707, 825, 360, 400?
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 695, 707, 825, 360, 400.
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}.