LCM of 829, 762, 638, 545
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 829, 762, 638, 545 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 829, 762, 638, 545. So, keep reading to learn more.
Given numbers are 829,762,638,545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 829,762,638,545 is 109823855790.
Find LCM of 829,762,638,545 with Prime Factorization
| 2 | 829, 762, 638, 545 |
| 829, 381, 319, 545 |
Multiply the prime numbers at the bottom and the left side.
2 x 829 x 381 x 319 x 545 = 109823855790
Therefore, the lowest common multiple of 829,762,638,545 is 109823855790.
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.
829 x 762 x 638 x 545 = 219647711580
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.
829 : 1, 829
762 : 1, 2, 3, 6, 127, 254, 381, 762
638 : 1, 2, 11, 22, 29, 58, 319, 638
545 : 1, 5, 109, 545
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,762,638,545, is 1.
Now, the common factors can be found like this.
829:829
762:2x 3x 127
638:2x 11x 29
545:5x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 219647711580/(1x2)
LCM = 219647711580/2
LCM = 109823855790
Thus, we can understand that the LCM of 829,762,638,545 is 109823855790.
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FAQs on LCM of 829, 762, 638, 545
1. What is the LCM of 829, 762, 638, 545?
Answer: LCM of 829, 762, 638, 545 is 109823855790.
2. How to calculate the LCM of 829, 762, 638, 545?
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 829, 762, 638, 545.
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}.