LCM of 685, 195, 995, 185, 709
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 685, 195, 995, 185, 709 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 685, 195, 995, 185, 709. So, keep reading to learn more.
Given numbers are 685,195,995,185,709
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 685,195,995,185,709 is 139462104405.
Find LCM of 685,195,995,185,709 with Prime Factorization
| 5 | 685, 195, 995, 185, 709 |
| 137, 39, 199, 37, 709 |
Multiply the prime numbers at the bottom and the left side.
5 x 137 x 39 x 199 x 37 x 709 = 139462104405
Therefore, the lowest common multiple of 685,195,995,185,709 is 139462104405.
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.
685 x 195 x 995 x 185 x 709 = 17432763050625
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.
685 : 1, 5, 137, 685
195 : 1, 3, 5, 13, 15, 39, 65, 195
995 : 1, 5, 199, 995
185 : 1, 5, 37, 185
709 : 1, 709
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,195,995,185,709, is 1.
Now, the common factors can be found like this.
685:5x 137
195:3x 5x 13
995:5x 199
185:5x 37
709:709
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 5 = 125
Therefore, the value for common factors is 125.
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 = 17432763050625/(1x125)
LCM = 17432763050625/125
LCM = 139462104405
Thus, we can understand that the LCM of 685,195,995,185,709 is 139462104405.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 685, 195, 995, 185, 709
1. What is the LCM of 685, 195, 995, 185, 709?
Answer: LCM of 685, 195, 995, 185, 709 is 139462104405.
2. How to calculate the LCM of 685, 195, 995, 185, 709?
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 685, 195, 995, 185, 709.
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}.