LCM of 159, 820, 754, 724, 905
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 159, 820, 754, 724, 905 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 159, 820, 754, 724, 905. So, keep reading to learn more.
Given numbers are 159,820,754,724,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 159,820,754,724,905 is 8896740060.
Find LCM of 159,820,754,724,905 with Prime Factorization
| 2 | 159, 820, 754, 724, 905 |
| 2 | 159, 410, 377, 362, 905 |
| 5 | 159, 205, 377, 181, 905 |
| 181 | 159, 41, 377, 181, 181 |
| 159, 41, 377, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 181 x 159 x 41 x 377 x 1 x 1 = 8896740060
Therefore, the lowest common multiple of 159,820,754,724,905 is 8896740060.
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.
159 x 820 x 754 x 724 x 905 = 64412398034400
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.
159 : 1, 3, 53, 159
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
754 : 1, 2, 13, 26, 29, 58, 377, 754
724 : 1, 2, 4, 181, 362, 724
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 159,820,754,724,905, is 1.
Now, the common factors can be found like this.
159:3x 53
820:2x 2x 5x 41
754:2x 13x 29
724:2x 2x 181
905:5x 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 5x 181 = 7240
Therefore, the value for common factors is 7240.
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 = 64412398034400/(1x7240)
LCM = 64412398034400/7240
LCM = 8896740060
Thus, we can understand that the LCM of 159,820,754,724,905 is 8896740060.
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FAQs on LCM of 159, 820, 754, 724, 905
1. What is the LCM of 159, 820, 754, 724, 905?
Answer: LCM of 159, 820, 754, 724, 905 is 8896740060.
2. How to calculate the LCM of 159, 820, 754, 724, 905?
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 159, 820, 754, 724, 905.
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}.