LCM of 973, 675, 105, 542, 361
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 973, 675, 105, 542, 361 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 973, 675, 105, 542, 361. So, keep reading to learn more.
Given numbers are 973,675,105,542,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,675,105,542,361 is 128505910050.
Find LCM of 973,675,105,542,361 with Prime Factorization
| 3 | 973, 675, 105, 542, 361 |
| 5 | 973, 225, 35, 542, 361 |
| 7 | 973, 45, 7, 542, 361 |
| 139, 45, 1, 542, 361 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 139 x 45 x 1 x 542 x 361 = 128505910050
Therefore, the lowest common multiple of 973,675,105,542,361 is 128505910050.
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.
973 x 675 x 105 x 542 x 361 = 13493120555250
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.
973 : 1, 7, 139, 973
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
105 : 1, 3, 5, 7, 15, 21, 35, 105
542 : 1, 2, 271, 542
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,675,105,542,361, is 1.
Now, the common factors can be found like this.
973:7x 139
675:3x 3x 3x 5x 5
105:3x 5x 7
542:2x 271
361:19x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7 = 105
Therefore, the value for common factors is 105.
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 = 13493120555250/(1x105)
LCM = 13493120555250/105
LCM = 128505910050
Thus, we can understand that the LCM of 973,675,105,542,361 is 128505910050.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 973, 675, 105, 542, 361
1. What is the LCM of 973, 675, 105, 542, 361?
Answer: LCM of 973, 675, 105, 542, 361 is 128505910050.
2. How to calculate the LCM of 973, 675, 105, 542, 361?
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 973, 675, 105, 542, 361.
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}.