LCM of 964, 225, 698, 775, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 225, 698, 775, 909 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, 225, 698, 775, 909. So, keep reading to learn more.
Given numbers are 964,225,698,775,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,225,698,775,909 is 237010751100.
Find LCM of 964,225,698,775,909 with Prime Factorization
| 2 | 964, 225, 698, 775, 909 |
| 3 | 482, 225, 349, 775, 909 |
| 3 | 482, 75, 349, 775, 303 |
| 5 | 482, 25, 349, 775, 101 |
| 5 | 482, 5, 349, 155, 101 |
| 482, 1, 349, 31, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 5 x 482 x 1 x 349 x 31 x 101 = 237010751100
Therefore, the lowest common multiple of 964,225,698,775,909 is 237010751100.
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 225 x 698 x 775 x 909 = 106654837995000
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
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
698 : 1, 2, 349, 698
775 : 1, 5, 25, 31, 155, 775
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,225,698,775,909, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
225:3x 3x 5x 5
698:2x 349
775:5x 5x 31
909:3x 3x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5 = 450
Therefore, the value for common factors is 450.
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 = 106654837995000/(1x450)
LCM = 106654837995000/450
LCM = 237010751100
Thus, we can understand that the LCM of 964,225,698,775,909 is 237010751100.
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FAQs on LCM of 964, 225, 698, 775, 909
1. What is the LCM of 964, 225, 698, 775, 909?
Answer: LCM of 964, 225, 698, 775, 909 is 237010751100.
2. How to calculate the LCM of 964, 225, 698, 775, 909?
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, 225, 698, 775, 909.
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}.