LCM of 739, 138, 825, 462, 154
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 739, 138, 825, 462, 154 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 739, 138, 825, 462, 154. So, keep reading to learn more.
Given numbers are 739,138,825,462,154
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 739,138,825,462,154 is 196315350.
Find LCM of 739,138,825,462,154 with Prime Factorization
| 2 | 739, 138, 825, 462, 154 |
| 3 | 739, 69, 825, 231, 77 |
| 7 | 739, 23, 275, 77, 77 |
| 11 | 739, 23, 275, 11, 11 |
| 739, 23, 25, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 739 x 23 x 25 x 1 x 1 = 196315350
Therefore, the lowest common multiple of 739,138,825,462,154 is 196315350.
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.
739 x 138 x 825 x 462 x 154 = 5986047652200
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.
739 : 1, 739
138 : 1, 2, 3, 6, 23, 46, 69, 138
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
154 : 1, 2, 7, 11, 14, 22, 77, 154
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,138,825,462,154, is 1.
Now, the common factors can be found like this.
739:739
138:2x 3x 23
825:3x 5x 5x 11
462:2x 3x 7x 11
154:2x 7x 11
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 3x 3x 7x 11x 11 = 30492
Therefore, the value for common factors is 30492.
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 = 5986047652200/(1x30492)
LCM = 5986047652200/30492
LCM = 196315350
Thus, we can understand that the LCM of 739,138,825,462,154 is 196315350.
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FAQs on LCM of 739, 138, 825, 462, 154
1. What is the LCM of 739, 138, 825, 462, 154?
Answer: LCM of 739, 138, 825, 462, 154 is 196315350.
2. How to calculate the LCM of 739, 138, 825, 462, 154?
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 739, 138, 825, 462, 154.
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}.