LCM of 305, 703, 144, 486, 724
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 703, 144, 486, 724 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 305, 703, 144, 486, 724. So, keep reading to learn more.
Given numbers are 305,703,144,486,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,703,144,486,724 is 150889839120.
Find LCM of 305,703,144,486,724 with Prime Factorization
| 2 | 305, 703, 144, 486, 724 |
| 2 | 305, 703, 72, 243, 362 |
| 3 | 305, 703, 36, 243, 181 |
| 3 | 305, 703, 12, 81, 181 |
| 305, 703, 4, 27, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 305 x 703 x 4 x 27 x 181 = 150889839120
Therefore, the lowest common multiple of 305,703,144,486,724 is 150889839120.
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.
305 x 703 x 144 x 486 x 724 = 10864068416640
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.
305 : 1, 5, 61, 305
703 : 1, 19, 37, 703
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
724 : 1, 2, 4, 181, 362, 724
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,703,144,486,724, is 1.
Now, the common factors can be found like this.
305:5x 61
703:19x 37
144:2x 2x 2x 2x 3x 3
486:2x 3x 3x 3x 3x 3
724:2x 2x 181
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 10864068416640/(1x72)
LCM = 10864068416640/72
LCM = 150889839120
Thus, we can understand that the LCM of 305,703,144,486,724 is 150889839120.
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FAQs on LCM of 305, 703, 144, 486, 724
1. What is the LCM of 305, 703, 144, 486, 724?
Answer: LCM of 305, 703, 144, 486, 724 is 150889839120.
2. How to calculate the LCM of 305, 703, 144, 486, 724?
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 305, 703, 144, 486, 724.
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}.