LCM of 641, 913, 882, 798, 767
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 641, 913, 882, 798, 767 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 641, 913, 882, 798, 767. So, keep reading to learn more.
Given numbers are 641,913,882,798,767
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 641,913,882,798,767 is 7522225648938.
Find LCM of 641,913,882,798,767 with Prime Factorization
| 2 | 641, 913, 882, 798, 767 |
| 3 | 641, 913, 441, 399, 767 |
| 7 | 641, 913, 147, 133, 767 |
| 641, 913, 21, 19, 767 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 641 x 913 x 21 x 19 x 767 = 7522225648938
Therefore, the lowest common multiple of 641,913,882,798,767 is 7522225648938.
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.
641 x 913 x 882 x 798 x 767 = 315933477255396
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.
641 : 1, 641
913 : 1, 11, 83, 913
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
767 : 1, 13, 59, 767
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 641,913,882,798,767, is 1.
Now, the common factors can be found like this.
641:641
913:11x 83
882:2x 3x 3x 7x 7
798:2x 3x 7x 19
767:13x 59
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 7 = 42
Therefore, the value for common factors is 42.
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 = 315933477255396/(1x42)
LCM = 315933477255396/42
LCM = 7522225648938
Thus, we can understand that the LCM of 641,913,882,798,767 is 7522225648938.
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FAQs on LCM of 641, 913, 882, 798, 767
1. What is the LCM of 641, 913, 882, 798, 767?
Answer: LCM of 641, 913, 882, 798, 767 is 7522225648938.
2. How to calculate the LCM of 641, 913, 882, 798, 767?
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 641, 913, 882, 798, 767.
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}.