LCM of 724, 170, 980, 812, 871
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 170, 980, 812, 871 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, 170, 980, 812, 871. So, keep reading to learn more.
Given numbers are 724,170,980,812,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,170,980,812,871 is 76167504140.
Find LCM of 724,170,980,812,871 with Prime Factorization
| 2 | 724, 170, 980, 812, 871 |
| 2 | 362, 85, 490, 406, 871 |
| 5 | 181, 85, 245, 203, 871 |
| 7 | 181, 17, 49, 203, 871 |
| 181, 17, 7, 29, 871 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 181 x 17 x 7 x 29 x 871 = 76167504140
Therefore, the lowest common multiple of 724,170,980,812,871 is 76167504140.
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 170 x 980 x 812 x 871 = 85307604636800
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
170 : 1, 2, 5, 10, 17, 34, 85, 170
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,170,980,812,871, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
170:2x 5x 17
980:2x 2x 5x 7x 7
812:2x 2x 7x 29
871:13x 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 2x 2x 2x 2x 5x 7 = 1120
Therefore, the value for common factors is 1120.
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 = 85307604636800/(1x1120)
LCM = 85307604636800/1120
LCM = 76167504140
Thus, we can understand that the LCM of 724,170,980,812,871 is 76167504140.
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FAQs on LCM of 724, 170, 980, 812, 871
1. What is the LCM of 724, 170, 980, 812, 871?
Answer: LCM of 724, 170, 980, 812, 871 is 76167504140.
2. How to calculate the LCM of 724, 170, 980, 812, 871?
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, 170, 980, 812, 871.
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}.