LCM of 747, 155, 425, 961, 584
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 747, 155, 425, 961, 584 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 747, 155, 425, 961, 584. So, keep reading to learn more.
Given numbers are 747,155,425,961,584
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,155,425,961,584 is 178174589400.
Find LCM of 747,155,425,961,584 with Prime Factorization
| 5 | 747, 155, 425, 961, 584 |
| 31 | 747, 31, 85, 961, 584 |
| 747, 1, 85, 31, 584 |
Multiply the prime numbers at the bottom and the left side.
5 x 31 x 747 x 1 x 85 x 31 x 584 = 178174589400
Therefore, the lowest common multiple of 747,155,425,961,584 is 178174589400.
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.
747 x 155 x 425 x 961 x 584 = 27617061357000
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.
747 : 1, 3, 9, 83, 249, 747
155 : 1, 5, 31, 155
425 : 1, 5, 17, 25, 85, 425
961 : 1, 31, 961
584 : 1, 2, 4, 8, 73, 146, 292, 584
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,155,425,961,584, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
155:5x 31
425:5x 5x 17
961:31x 31
584:2x 2x 2x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 31 = 155
Therefore, the value for common factors is 155.
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 = 27617061357000/(1x155)
LCM = 27617061357000/155
LCM = 178174589400
Thus, we can understand that the LCM of 747,155,425,961,584 is 178174589400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 747, 155, 425, 961, 584
1. What is the LCM of 747, 155, 425, 961, 584?
Answer: LCM of 747, 155, 425, 961, 584 is 178174589400.
2. How to calculate the LCM of 747, 155, 425, 961, 584?
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 747, 155, 425, 961, 584.
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}.