LCM of 675, 713, 973, 297, 834
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 675, 713, 973, 297, 834 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 675, 713, 973, 297, 834. So, keep reading to learn more.
Given numbers are 675,713,973,297,834
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 675,713,973,297,834 is 10302172650.
Find LCM of 675,713,973,297,834 with Prime Factorization
| 3 | 675, 713, 973, 297, 834 |
| 3 | 225, 713, 973, 99, 278 |
| 3 | 75, 713, 973, 33, 278 |
| 139 | 25, 713, 973, 11, 278 |
| 25, 713, 7, 11, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 139 x 25 x 713 x 7 x 11 x 2 = 10302172650
Therefore, the lowest common multiple of 675,713,973,297,834 is 10302172650.
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.
675 x 713 x 973 x 297 x 834 = 115992161866350
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.
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
713 : 1, 23, 31, 713
973 : 1, 7, 139, 973
297 : 1, 3, 9, 11, 27, 33, 99, 297
834 : 1, 2, 3, 6, 139, 278, 417, 834
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 675,713,973,297,834, is 1.
Now, the common factors can be found like this.
675:3x 3x 3x 5x 5
713:23x 31
973:7x 139
297:3x 3x 3x 11
834:2x 3x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 139 = 11259
Therefore, the value for common factors is 11259.
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 = 115992161866350/(1x11259)
LCM = 115992161866350/11259
LCM = 10302172650
Thus, we can understand that the LCM of 675,713,973,297,834 is 10302172650.
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FAQs on LCM of 675, 713, 973, 297, 834
1. What is the LCM of 675, 713, 973, 297, 834?
Answer: LCM of 675, 713, 973, 297, 834 is 10302172650.
2. How to calculate the LCM of 675, 713, 973, 297, 834?
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 675, 713, 973, 297, 834.
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}.