LCM of 818, 735, 750, 828, 207
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 818, 735, 750, 828, 207 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 818, 735, 750, 828, 207. So, keep reading to learn more.
Given numbers are 818,735,750,828,207
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 818,735,750,828,207 is 2074243500.
Find LCM of 818,735,750,828,207 with Prime Factorization
| 2 | 818, 735, 750, 828, 207 |
| 3 | 409, 735, 375, 414, 207 |
| 3 | 409, 245, 125, 138, 69 |
| 5 | 409, 245, 125, 46, 23 |
| 23 | 409, 49, 25, 46, 23 |
| 409, 49, 25, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 23 x 409 x 49 x 25 x 2 x 1 = 2074243500
Therefore, the lowest common multiple of 818,735,750,828,207 is 2074243500.
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.
818 x 735 x 750 x 828 x 207 = 77286312810000
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.
818 : 1, 2, 409, 818
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
207 : 1, 3, 9, 23, 69, 207
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,735,750,828,207, is 1.
Now, the common factors can be found like this.
818:2x 409
735:3x 5x 7x 7
750:2x 3x 5x 5x 5
828:2x 2x 3x 3x 23
207:3x 3x 23
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 3x 3x 5x 23 = 37260
Therefore, the value for common factors is 37260.
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 = 77286312810000/(1x37260)
LCM = 77286312810000/37260
LCM = 2074243500
Thus, we can understand that the LCM of 818,735,750,828,207 is 2074243500.
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FAQs on LCM of 818, 735, 750, 828, 207
1. What is the LCM of 818, 735, 750, 828, 207?
Answer: LCM of 818, 735, 750, 828, 207 is 2074243500.
2. How to calculate the LCM of 818, 735, 750, 828, 207?
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 818, 735, 750, 828, 207.
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}.