LCM of 964, 285, 348, 671, 501
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 285, 348, 671, 501 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, 285, 348, 671, 501. So, keep reading to learn more.
Given numbers are 964,285,348,671,501
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,285,348,671,501 is 892809665220.
Find LCM of 964,285,348,671,501 with Prime Factorization
| 2 | 964, 285, 348, 671, 501 |
| 2 | 482, 285, 174, 671, 501 |
| 3 | 241, 285, 87, 671, 501 |
| 241, 95, 29, 671, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 241 x 95 x 29 x 671 x 167 = 892809665220
Therefore, the lowest common multiple of 964,285,348,671,501 is 892809665220.
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 285 x 348 x 671 x 501 = 32141147947920
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
285 : 1, 3, 5, 15, 19, 57, 95, 285
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
671 : 1, 11, 61, 671
501 : 1, 3, 167, 501
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,285,348,671,501, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
285:3x 5x 19
348:2x 2x 3x 29
671:11x 61
501:3x 167
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 32141147947920/(1x36)
LCM = 32141147947920/36
LCM = 892809665220
Thus, we can understand that the LCM of 964,285,348,671,501 is 892809665220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 964, 285, 348, 671, 501
1. What is the LCM of 964, 285, 348, 671, 501?
Answer: LCM of 964, 285, 348, 671, 501 is 892809665220.
2. How to calculate the LCM of 964, 285, 348, 671, 501?
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, 285, 348, 671, 501.
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}.