LCM of 917, 807, 524, 814, 862
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 917, 807, 524, 814, 862 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 917, 807, 524, 814, 862. So, keep reading to learn more.
Given numbers are 917,807,524,814,862
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,807,524,814,862 is 519247651692.
Find LCM of 917,807,524,814,862 with Prime Factorization
| 2 | 917, 807, 524, 814, 862 |
| 131 | 917, 807, 262, 407, 431 |
| 7, 807, 2, 407, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 131 x 7 x 807 x 2 x 407 x 431 = 519247651692
Therefore, the lowest common multiple of 917,807,524,814,862 is 519247651692.
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.
917 x 807 x 524 x 814 x 862 = 272085769486608
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.
917 : 1, 7, 131, 917
807 : 1, 3, 269, 807
524 : 1, 2, 4, 131, 262, 524
814 : 1, 2, 11, 22, 37, 74, 407, 814
862 : 1, 2, 431, 862
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,807,524,814,862, is 1.
Now, the common factors can be found like this.
917:7x 131
807:3x 269
524:2x 2x 131
814:2x 11x 37
862:2x 431
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 131 = 524
Therefore, the value for common factors is 524.
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 = 272085769486608/(1x524)
LCM = 272085769486608/524
LCM = 519247651692
Thus, we can understand that the LCM of 917,807,524,814,862 is 519247651692.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 917, 807, 524, 814, 862
1. What is the LCM of 917, 807, 524, 814, 862?
Answer: LCM of 917, 807, 524, 814, 862 is 519247651692.
2. How to calculate the LCM of 917, 807, 524, 814, 862?
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 917, 807, 524, 814, 862.
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}.