LCM of 695, 404, 782, 680, 865
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 695, 404, 782, 680, 865 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, 404, 782, 680, 865. So, keep reading to learn more.
Given numbers are 695,404,782,680,865
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 695,404,782,680,865 is 37985603080.
Find LCM of 695,404,782,680,865 with Prime Factorization
| 2 | 695, 404, 782, 680, 865 |
| 2 | 695, 202, 391, 340, 865 |
| 5 | 695, 101, 391, 170, 865 |
| 17 | 139, 101, 391, 34, 173 |
| 139, 101, 23, 2, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 139 x 101 x 23 x 2 x 173 = 37985603080
Therefore, the lowest common multiple of 695,404,782,680,865 is 37985603080.
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 404 x 782 x 680 x 865 = 129151050472000
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
404 : 1, 2, 4, 101, 202, 404
782 : 1, 2, 17, 23, 34, 46, 391, 782
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
865 : 1, 5, 173, 865
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,404,782,680,865, is 1.
Now, the common factors can be found like this.
695:5x 139
404:2x 2x 101
782:2x 17x 23
680:2x 2x 2x 5x 17
865:5x 173
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 5x 5x 17 = 3400
Therefore, the value for common factors is 3400.
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 = 129151050472000/(1x3400)
LCM = 129151050472000/3400
LCM = 37985603080
Thus, we can understand that the LCM of 695,404,782,680,865 is 37985603080.
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FAQs on LCM of 695, 404, 782, 680, 865
1. What is the LCM of 695, 404, 782, 680, 865?
Answer: LCM of 695, 404, 782, 680, 865 is 37985603080.
2. How to calculate the LCM of 695, 404, 782, 680, 865?
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, 404, 782, 680, 865.
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}.