LCM of 762, 978, 663, 429, 327
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 978, 663, 429, 327 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 762, 978, 663, 429, 327. So, keep reading to learn more.
Given numbers are 762,978,663,429,327
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,978,663,429,327 is 32911981674.
Find LCM of 762,978,663,429,327 with Prime Factorization
| 2 | 762, 978, 663, 429, 327 |
| 3 | 381, 489, 663, 429, 327 |
| 13 | 127, 163, 221, 143, 109 |
| 127, 163, 17, 11, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 127 x 163 x 17 x 11 x 109 = 32911981674
Therefore, the lowest common multiple of 762,978,663,429,327 is 32911981674.
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.
762 x 978 x 663 x 429 x 327 = 69312633405444
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
978 : 1, 2, 3, 6, 163, 326, 489, 978
663 : 1, 3, 13, 17, 39, 51, 221, 663
429 : 1, 3, 11, 13, 33, 39, 143, 429
327 : 1, 3, 109, 327
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,978,663,429,327, is 3.
Now, the common factors can be found like this.
762:2x 3x 127
978:2x 3x 163
663:3x 13x 17
429:3x 11x 13
327:3x 109
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 3x 13 = 702
Therefore, the value for common factors is 702.
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 = 69312633405444/(3x702)
LCM = 69312633405444/2106
LCM = 32911981674
Thus, we can understand that the LCM of 762,978,663,429,327 is 32911981674.
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FAQs on LCM of 762, 978, 663, 429, 327
1. What is the LCM of 762, 978, 663, 429, 327?
Answer: LCM of 762, 978, 663, 429, 327 is 32911981674.
2. How to calculate the LCM of 762, 978, 663, 429, 327?
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 762, 978, 663, 429, 327.
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}.