LCM of 851, 148, 128, 709, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 851, 148, 128, 709, 945 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 851, 148, 128, 709, 945. So, keep reading to learn more.
Given numbers are 851,148,128,709,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,148,128,709,945 is 72982304640.
Find LCM of 851,148,128,709,945 with Prime Factorization
| 2 | 851, 148, 128, 709, 945 |
| 2 | 851, 74, 64, 709, 945 |
| 37 | 851, 37, 32, 709, 945 |
| 23, 1, 32, 709, 945 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 37 x 23 x 1 x 32 x 709 x 945 = 72982304640
Therefore, the lowest common multiple of 851,148,128,709,945 is 72982304640.
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.
851 x 148 x 128 x 709 x 945 = 10801381086720
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.
851 : 1, 23, 37, 851
148 : 1, 2, 4, 37, 74, 148
128 : 1, 2, 4, 8, 16, 32, 64, 128
709 : 1, 709
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,148,128,709,945, is 1.
Now, the common factors can be found like this.
851:23x 37
148:2x 2x 37
128:2x 2x 2x 2x 2x 2x 2
709:709
945:3x 3x 3x 5x 7
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 37 = 148
Therefore, the value for common factors is 148.
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 = 10801381086720/(1x148)
LCM = 10801381086720/148
LCM = 72982304640
Thus, we can understand that the LCM of 851,148,128,709,945 is 72982304640.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 851, 148, 128, 709, 945
1. What is the LCM of 851, 148, 128, 709, 945?
Answer: LCM of 851, 148, 128, 709, 945 is 72982304640.
2. How to calculate the LCM of 851, 148, 128, 709, 945?
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 851, 148, 128, 709, 945.
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}.