LCM of 725, 101, 812, 916, 106
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 725, 101, 812, 916, 106 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 725, 101, 812, 916, 106. So, keep reading to learn more.
Given numbers are 725,101,812,916,106
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 725,101,812,916,106 is 24884491100.
Find LCM of 725,101,812,916,106 with Prime Factorization
| 2 | 725, 101, 812, 916, 106 |
| 2 | 725, 101, 406, 458, 53 |
| 29 | 725, 101, 203, 229, 53 |
| 25, 101, 7, 229, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 25 x 101 x 7 x 229 x 53 = 24884491100
Therefore, the lowest common multiple of 725,101,812,916,106 is 24884491100.
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.
725 x 101 x 812 x 916 x 106 = 5773201935200
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.
725 : 1, 5, 25, 29, 145, 725
101 : 1, 101
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
916 : 1, 2, 4, 229, 458, 916
106 : 1, 2, 53, 106
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,101,812,916,106, is 1.
Now, the common factors can be found like this.
725:5x 5x 29
101:101
812:2x 2x 7x 29
916:2x 2x 229
106:2x 53
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 29 = 232
Therefore, the value for common factors is 232.
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 = 5773201935200/(1x232)
LCM = 5773201935200/232
LCM = 24884491100
Thus, we can understand that the LCM of 725,101,812,916,106 is 24884491100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 725, 101, 812, 916, 106
1. What is the LCM of 725, 101, 812, 916, 106?
Answer: LCM of 725, 101, 812, 916, 106 is 24884491100.
2. How to calculate the LCM of 725, 101, 812, 916, 106?
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 725, 101, 812, 916, 106.
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}.