LCM of 827, 475, 612, 715, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 827, 475, 612, 715, 972 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 827, 475, 612, 715, 972. So, keep reading to learn more.
Given numbers are 827,475,612,715,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 827,475,612,715,972 is 928218762900.
Find LCM of 827,475,612,715,972 with Prime Factorization
| 2 | 827, 475, 612, 715, 972 |
| 2 | 827, 475, 306, 715, 486 |
| 3 | 827, 475, 153, 715, 243 |
| 3 | 827, 475, 51, 715, 81 |
| 5 | 827, 475, 17, 715, 27 |
| 827, 95, 17, 143, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 827 x 95 x 17 x 143 x 27 = 928218762900
Therefore, the lowest common multiple of 827,475,612,715,972 is 928218762900.
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.
827 x 475 x 612 x 715 x 972 = 167079377322000
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.
827 : 1, 827
475 : 1, 5, 19, 25, 95, 475
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
715 : 1, 5, 11, 13, 55, 65, 143, 715
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,475,612,715,972, is 1.
Now, the common factors can be found like this.
827:827
475:5x 5x 19
612:2x 2x 3x 3x 17
715:5x 11x 13
972:2x 2x 3x 3x 3x 3x 3
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 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 167079377322000/(1x180)
LCM = 167079377322000/180
LCM = 928218762900
Thus, we can understand that the LCM of 827,475,612,715,972 is 928218762900.
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FAQs on LCM of 827, 475, 612, 715, 972
1. What is the LCM of 827, 475, 612, 715, 972?
Answer: LCM of 827, 475, 612, 715, 972 is 928218762900.
2. How to calculate the LCM of 827, 475, 612, 715, 972?
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 827, 475, 612, 715, 972.
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}.