LCM of 724, 546, 142, 871, 813
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 546, 142, 871, 813 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, 546, 142, 871, 813. So, keep reading to learn more.
Given numbers are 724,546,142,871,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,546,142,871,813 is 254802482844.
Find LCM of 724,546,142,871,813 with Prime Factorization
| 2 | 724, 546, 142, 871, 813 |
| 3 | 362, 273, 71, 871, 813 |
| 13 | 362, 91, 71, 871, 271 |
| 362, 7, 71, 67, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 362 x 7 x 71 x 67 x 271 = 254802482844
Therefore, the lowest common multiple of 724,546,142,871,813 is 254802482844.
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 546 x 142 x 871 x 813 = 39749187323664
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
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
142 : 1, 2, 71, 142
871 : 1, 13, 67, 871
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,546,142,871,813, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
546:2x 3x 7x 13
142:2x 71
871:13x 67
813:3x 271
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 13 = 156
Therefore, the value for common factors is 156.
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 = 39749187323664/(1x156)
LCM = 39749187323664/156
LCM = 254802482844
Thus, we can understand that the LCM of 724,546,142,871,813 is 254802482844.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 724, 546, 142, 871, 813
1. What is the LCM of 724, 546, 142, 871, 813?
Answer: LCM of 724, 546, 142, 871, 813 is 254802482844.
2. How to calculate the LCM of 724, 546, 142, 871, 813?
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, 546, 142, 871, 813.
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}.