LCM of 620, 764, 414, 841, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 620, 764, 414, 841, 765 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 620, 764, 414, 841, 765. So, keep reading to learn more.
Given numbers are 620,764,414,841,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,764,414,841,765 is 350461503180.
Find LCM of 620,764,414,841,765 with Prime Factorization
| 2 | 620, 764, 414, 841, 765 |
| 2 | 310, 382, 207, 841, 765 |
| 3 | 155, 191, 207, 841, 765 |
| 3 | 155, 191, 69, 841, 255 |
| 5 | 155, 191, 23, 841, 85 |
| 31, 191, 23, 841, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 31 x 191 x 23 x 841 x 17 = 350461503180
Therefore, the lowest common multiple of 620,764,414,841,765 is 350461503180.
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.
620 x 764 x 414 x 841 x 765 = 126166141144800
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.
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
764 : 1, 2, 4, 191, 382, 764
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
841 : 1, 29, 841
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,764,414,841,765, is 1.
Now, the common factors can be found like this.
620:2x 2x 5x 31
764:2x 2x 191
414:2x 3x 3x 23
841:29x 29
765:3x 3x 5x 17
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 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 126166141144800/(1x360)
LCM = 126166141144800/360
LCM = 350461503180
Thus, we can understand that the LCM of 620,764,414,841,765 is 350461503180.
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FAQs on LCM of 620, 764, 414, 841, 765
1. What is the LCM of 620, 764, 414, 841, 765?
Answer: LCM of 620, 764, 414, 841, 765 is 350461503180.
2. How to calculate the LCM of 620, 764, 414, 841, 765?
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 620, 764, 414, 841, 765.
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}.