LCM of 709, 910, 126, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 709, 910, 126, 897 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 709, 910, 126, 897. So, keep reading to learn more.
Given numbers are 709,910,126,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,910,126,897 is 133554330.
Find LCM of 709,910,126,897 with Prime Factorization
| 2 | 709, 910, 126, 897 |
| 3 | 709, 455, 63, 897 |
| 7 | 709, 455, 21, 299 |
| 13 | 709, 65, 3, 299 |
| 709, 5, 3, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 709 x 5 x 3 x 23 = 133554330
Therefore, the lowest common multiple of 709,910,126,897 is 133554330.
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.
709 x 910 x 126 x 897 = 72920664180
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.
709 : 1, 709
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,910,126,897, is 1.
Now, the common factors can be found like this.
709:709
910:2x 5x 7x 13
126:2x 3x 3x 7
897:3x 13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 13 = 546
Therefore, the value for common factors is 546.
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 = 72920664180/(1x546)
LCM = 72920664180/546
LCM = 133554330
Thus, we can understand that the LCM of 709,910,126,897 is 133554330.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 709, 910, 126, 897
1. What is the LCM of 709, 910, 126, 897?
Answer: LCM of 709, 910, 126, 897 is 133554330.
2. How to calculate the LCM of 709, 910, 126, 897?
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 709, 910, 126, 897.
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}.