LCM of 964, 815, 509, 964, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 815, 509, 964, 742 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 964, 815, 509, 964, 742. So, keep reading to learn more.
Given numbers are 964,815,509,964,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,815,509,964,742 is 148363248740.
Find LCM of 964,815,509,964,742 with Prime Factorization
| 2 | 964, 815, 509, 964, 742 |
| 2 | 482, 815, 509, 482, 371 |
| 241 | 241, 815, 509, 241, 371 |
| 1, 815, 509, 1, 371 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 241 x 1 x 815 x 509 x 1 x 371 = 148363248740
Therefore, the lowest common multiple of 964,815,509,964,742 is 148363248740.
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.
964 x 815 x 509 x 964 x 742 = 286044343570720
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.
964 : 1, 2, 4, 241, 482, 964
815 : 1, 5, 163, 815
509 : 1, 509
964 : 1, 2, 4, 241, 482, 964
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,815,509,964,742, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
815:5x 163
509:509
964:2x 2x 241
742:2x 7x 53
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 241 = 1928
Therefore, the value for common factors is 1928.
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 = 286044343570720/(1x1928)
LCM = 286044343570720/1928
LCM = 148363248740
Thus, we can understand that the LCM of 964,815,509,964,742 is 148363248740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 964, 815, 509, 964, 742
1. What is the LCM of 964, 815, 509, 964, 742?
Answer: LCM of 964, 815, 509, 964, 742 is 148363248740.
2. How to calculate the LCM of 964, 815, 509, 964, 742?
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 964, 815, 509, 964, 742.
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}.