LCM of 770, 378, 299, 741, 569
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 378, 299, 741, 569 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 770, 378, 299, 741, 569. So, keep reading to learn more.
Given numbers are 770,378,299,741,569
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,378,299,741,569 is 67203446310.
Find LCM of 770,378,299,741,569 with Prime Factorization
| 2 | 770, 378, 299, 741, 569 |
| 3 | 385, 189, 299, 741, 569 |
| 7 | 385, 63, 299, 247, 569 |
| 13 | 55, 9, 299, 247, 569 |
| 55, 9, 23, 19, 569 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 55 x 9 x 23 x 19 x 569 = 67203446310
Therefore, the lowest common multiple of 770,378,299,741,569 is 67203446310.
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.
770 x 378 x 299 x 741 x 569 = 36693081685260
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
299 : 1, 13, 23, 299
741 : 1, 3, 13, 19, 39, 57, 247, 741
569 : 1, 569
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,378,299,741,569, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
378:2x 3x 3x 3x 7
299:13x 23
741:3x 13x 19
569:569
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 7x 13 = 546
Therefore, the value for common factors is 546.
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 = 36693081685260/(1x546)
LCM = 36693081685260/546
LCM = 67203446310
Thus, we can understand that the LCM of 770,378,299,741,569 is 67203446310.
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FAQs on LCM of 770, 378, 299, 741, 569
1. What is the LCM of 770, 378, 299, 741, 569?
Answer: LCM of 770, 378, 299, 741, 569 is 67203446310.
2. How to calculate the LCM of 770, 378, 299, 741, 569?
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 770, 378, 299, 741, 569.
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}.