LCM of 861, 917, 637, 588, 724
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 861, 917, 637, 588, 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 861, 917, 637, 588, 724. So, keep reading to learn more.
Given numbers are 861,917,637,588,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,917,637,588,724 is 7431122244.
Find LCM of 861,917,637,588,724 with Prime Factorization
| 2 | 861, 917, 637, 588, 724 |
| 2 | 861, 917, 637, 294, 362 |
| 3 | 861, 917, 637, 147, 181 |
| 7 | 287, 917, 637, 49, 181 |
| 7 | 41, 131, 91, 7, 181 |
| 41, 131, 13, 1, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 7 x 41 x 131 x 13 x 1 x 181 = 7431122244
Therefore, the lowest common multiple of 861,917,637,588,724 is 7431122244.
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.
861 x 917 x 637 x 588 x 724 = 214105494094128
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
917 : 1, 7, 131, 917
637 : 1, 7, 13, 49, 91, 637
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
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 861,917,637,588,724, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
917:7x 131
637:7x 7x 13
588:2x 2x 3x 7x 7
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 3x 7x 7x 7x 7 = 28812
Therefore, the value for common factors is 28812.
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 = 214105494094128/(1x28812)
LCM = 214105494094128/28812
LCM = 7431122244
Thus, we can understand that the LCM of 861,917,637,588,724 is 7431122244.
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FAQs on LCM of 861, 917, 637, 588, 724
1. What is the LCM of 861, 917, 637, 588, 724?
Answer: LCM of 861, 917, 637, 588, 724 is 7431122244.
2. How to calculate the LCM of 861, 917, 637, 588, 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 861, 917, 637, 588, 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}.