LCM of 945, 225, 692, 695, 835
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 945, 225, 692, 695, 835 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 945, 225, 692, 695, 835. So, keep reading to learn more.
Given numbers are 945,225,692,695,835
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 945,225,692,695,835 is 75899546100.
Find LCM of 945,225,692,695,835 with Prime Factorization
| 3 | 945, 225, 692, 695, 835 |
| 3 | 315, 75, 692, 695, 835 |
| 5 | 105, 25, 692, 695, 835 |
| 21, 5, 692, 139, 167 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 21 x 5 x 692 x 139 x 167 = 75899546100
Therefore, the lowest common multiple of 945,225,692,695,835 is 75899546100.
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.
945 x 225 x 692 x 695 x 835 = 85386989362500
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.
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
692 : 1, 2, 4, 173, 346, 692
695 : 1, 5, 139, 695
835 : 1, 5, 167, 835
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,225,692,695,835, is 1.
Now, the common factors can be found like this.
945:3x 3x 3x 5x 7
225:3x 3x 5x 5
692:2x 2x 173
695:5x 139
835:5x 167
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 5x 5x 5 = 1125
Therefore, the value for common factors is 1125.
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 = 85386989362500/(1x1125)
LCM = 85386989362500/1125
LCM = 75899546100
Thus, we can understand that the LCM of 945,225,692,695,835 is 75899546100.
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FAQs on LCM of 945, 225, 692, 695, 835
1. What is the LCM of 945, 225, 692, 695, 835?
Answer: LCM of 945, 225, 692, 695, 835 is 75899546100.
2. How to calculate the LCM of 945, 225, 692, 695, 835?
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 945, 225, 692, 695, 835.
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}.