LCM of 964, 670, 645, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 670, 645, 989 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, 670, 645, 989. So, keep reading to learn more.
Given numbers are 964,670,645,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,670,645,989 is 958162980.
Find LCM of 964,670,645,989 with Prime Factorization
| 2 | 964, 670, 645, 989 |
| 5 | 482, 335, 645, 989 |
| 43 | 482, 67, 129, 989 |
| 482, 67, 3, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 43 x 482 x 67 x 3 x 23 = 958162980
Therefore, the lowest common multiple of 964,670,645,989 is 958162980.
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 670 x 645 x 989 = 412010081400
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
670 : 1, 2, 5, 10, 67, 134, 335, 670
645 : 1, 3, 5, 15, 43, 129, 215, 645
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,670,645,989, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
670:2x 5x 67
645:3x 5x 43
989:23x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 43 = 430
Therefore, the value for common factors is 430.
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 = 412010081400/(1x430)
LCM = 412010081400/430
LCM = 958162980
Thus, we can understand that the LCM of 964,670,645,989 is 958162980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 964, 670, 645, 989
1. What is the LCM of 964, 670, 645, 989?
Answer: LCM of 964, 670, 645, 989 is 958162980.
2. How to calculate the LCM of 964, 670, 645, 989?
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, 670, 645, 989.
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}.