LCM of 724, 431, 870, 905, 335
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 431, 870, 905, 335 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 724, 431, 870, 905, 335. So, keep reading to learn more.
Given numbers are 724,431,870,905,335
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,431,870,905,335 is 9094522380.
Find LCM of 724,431,870,905,335 with Prime Factorization
| 2 | 724, 431, 870, 905, 335 |
| 5 | 362, 431, 435, 905, 335 |
| 181 | 362, 431, 87, 181, 67 |
| 2, 431, 87, 1, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 181 x 2 x 431 x 87 x 1 x 67 = 9094522380
Therefore, the lowest common multiple of 724,431,870,905,335 is 9094522380.
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.
724 x 431 x 870 x 905 x 335 = 82305427539000
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.
724 : 1, 2, 4, 181, 362, 724
431 : 1, 431
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
905 : 1, 5, 181, 905
335 : 1, 5, 67, 335
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,431,870,905,335, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
431:431
870:2x 3x 5x 29
905:5x 181
335:5x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 181 = 9050
Therefore, the value for common factors is 9050.
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 = 82305427539000/(1x9050)
LCM = 82305427539000/9050
LCM = 9094522380
Thus, we can understand that the LCM of 724,431,870,905,335 is 9094522380.
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FAQs on LCM of 724, 431, 870, 905, 335
1. What is the LCM of 724, 431, 870, 905, 335?
Answer: LCM of 724, 431, 870, 905, 335 is 9094522380.
2. How to calculate the LCM of 724, 431, 870, 905, 335?
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 724, 431, 870, 905, 335.
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}.