LCM of 964, 667, 348, 349, 890
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 667, 348, 349, 890 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, 667, 348, 349, 890. So, keep reading to learn more.
Given numbers are 964,667,348,349,890
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,667,348,349,890 is 299577754020.
Find LCM of 964,667,348,349,890 with Prime Factorization
| 2 | 964, 667, 348, 349, 890 |
| 2 | 482, 667, 174, 349, 445 |
| 29 | 241, 667, 87, 349, 445 |
| 241, 23, 3, 349, 445 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 241 x 23 x 3 x 349 x 445 = 299577754020
Therefore, the lowest common multiple of 964,667,348,349,890 is 299577754020.
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 667 x 348 x 349 x 890 = 69502038932640
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
667 : 1, 23, 29, 667
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
349 : 1, 349
890 : 1, 2, 5, 10, 89, 178, 445, 890
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,667,348,349,890, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
667:23x 29
348:2x 2x 3x 29
349:349
890:2x 5x 89
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 29 = 232
Therefore, the value for common factors is 232.
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 = 69502038932640/(1x232)
LCM = 69502038932640/232
LCM = 299577754020
Thus, we can understand that the LCM of 964,667,348,349,890 is 299577754020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 964, 667, 348, 349, 890
1. What is the LCM of 964, 667, 348, 349, 890?
Answer: LCM of 964, 667, 348, 349, 890 is 299577754020.
2. How to calculate the LCM of 964, 667, 348, 349, 890?
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, 667, 348, 349, 890.
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}.