LCM of 714, 628, 105, 228, 834
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 628, 105, 228, 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 714, 628, 105, 228, 834. So, keep reading to learn more.
Given numbers are 714,628,105,228,834
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,628,105,228,834 is 2960508180.
Find LCM of 714,628,105,228,834 with Prime Factorization
| 2 | 714, 628, 105, 228, 834 |
| 2 | 357, 314, 105, 114, 417 |
| 3 | 357, 157, 105, 57, 417 |
| 7 | 119, 157, 35, 19, 139 |
| 17, 157, 5, 19, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 17 x 157 x 5 x 19 x 139 = 2960508180
Therefore, the lowest common multiple of 714,628,105,228,834 is 2960508180.
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.
714 x 628 x 105 x 228 x 834 = 8952576736320
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
628 : 1, 2, 4, 157, 314, 628
105 : 1, 3, 5, 7, 15, 21, 35, 105
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
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 714,628,105,228,834, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
628:2x 2x 157
105:3x 5x 7
228:2x 2x 3x 19
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.
2x 2x 2x 2x 3x 3x 3x 7 = 3024
Therefore, the value for common factors is 3024.
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 = 8952576736320/(1x3024)
LCM = 8952576736320/3024
LCM = 2960508180
Thus, we can understand that the LCM of 714,628,105,228,834 is 2960508180.
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FAQs on LCM of 714, 628, 105, 228, 834
1. What is the LCM of 714, 628, 105, 228, 834?
Answer: LCM of 714, 628, 105, 228, 834 is 2960508180.
2. How to calculate the LCM of 714, 628, 105, 228, 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 714, 628, 105, 228, 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}.