LCM of 770, 754, 559, 584, 383
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 754, 559, 584, 383 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, 754, 559, 584, 383. So, keep reading to learn more.
Given numbers are 770,754,559,584,383
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,754,559,584,383 is 1395989514920.
Find LCM of 770,754,559,584,383 with Prime Factorization
| 2 | 770, 754, 559, 584, 383 |
| 13 | 385, 377, 559, 292, 383 |
| 385, 29, 43, 292, 383 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 385 x 29 x 43 x 292 x 383 = 1395989514920
Therefore, the lowest common multiple of 770,754,559,584,383 is 1395989514920.
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 754 x 559 x 584 x 383 = 72591454775840
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
754 : 1, 2, 13, 26, 29, 58, 377, 754
559 : 1, 13, 43, 559
584 : 1, 2, 4, 8, 73, 146, 292, 584
383 : 1, 383
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,754,559,584,383, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
754:2x 13x 29
559:13x 43
584:2x 2x 2x 73
383:383
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 13 = 52
Therefore, the value for common factors is 52.
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 = 72591454775840/(1x52)
LCM = 72591454775840/52
LCM = 1395989514920
Thus, we can understand that the LCM of 770,754,559,584,383 is 1395989514920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 770, 754, 559, 584, 383
1. What is the LCM of 770, 754, 559, 584, 383?
Answer: LCM of 770, 754, 559, 584, 383 is 1395989514920.
2. How to calculate the LCM of 770, 754, 559, 584, 383?
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, 754, 559, 584, 383.
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}.