LCM of 584, 694, 546, 377, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 584, 694, 546, 377, 321 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 584, 694, 546, 377, 321. So, keep reading to learn more.
Given numbers are 584,694,546,377,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 584,694,546,377,321 is 171666971112.
Find LCM of 584,694,546,377,321 with Prime Factorization
| 2 | 584, 694, 546, 377, 321 |
| 3 | 292, 347, 273, 377, 321 |
| 13 | 292, 347, 91, 377, 107 |
| 292, 347, 7, 29, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 292 x 347 x 7 x 29 x 107 = 171666971112
Therefore, the lowest common multiple of 584,694,546,377,321 is 171666971112.
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.
584 x 694 x 546 x 377 x 321 = 26780047493472
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.
584 : 1, 2, 4, 8, 73, 146, 292, 584
694 : 1, 2, 347, 694
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
377 : 1, 13, 29, 377
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,694,546,377,321, is 1.
Now, the common factors can be found like this.
584:2x 2x 2x 73
694:2x 347
546:2x 3x 7x 13
377:13x 29
321:3x 107
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 26780047493472/(1x156)
LCM = 26780047493472/156
LCM = 171666971112
Thus, we can understand that the LCM of 584,694,546,377,321 is 171666971112.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 584, 694, 546, 377, 321
1. What is the LCM of 584, 694, 546, 377, 321?
Answer: LCM of 584, 694, 546, 377, 321 is 171666971112.
2. How to calculate the LCM of 584, 694, 546, 377, 321?
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 584, 694, 546, 377, 321.
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}.