LCM of 807, 750, 195, 442, 659
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 807, 750, 195, 442, 659 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 807, 750, 195, 442, 659. So, keep reading to learn more.
Given numbers are 807,750,195,442,659
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 807,750,195,442,659 is 29382668250.
Find LCM of 807,750,195,442,659 with Prime Factorization
| 2 | 807, 750, 195, 442, 659 |
| 3 | 807, 375, 195, 221, 659 |
| 5 | 269, 125, 65, 221, 659 |
| 13 | 269, 25, 13, 221, 659 |
| 269, 25, 1, 17, 659 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 269 x 25 x 1 x 17 x 659 = 29382668250
Therefore, the lowest common multiple of 807,750,195,442,659 is 29382668250.
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.
807 x 750 x 195 x 442 x 659 = 34377721852500
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.
807 : 1, 3, 269, 807
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
195 : 1, 3, 5, 13, 15, 39, 65, 195
442 : 1, 2, 13, 17, 26, 34, 221, 442
659 : 1, 659
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,750,195,442,659, is 1.
Now, the common factors can be found like this.
807:3x 269
750:2x 3x 5x 5x 5
195:3x 5x 13
442:2x 13x 17
659:659
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 13 = 1170
Therefore, the value for common factors is 1170.
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 = 34377721852500/(1x1170)
LCM = 34377721852500/1170
LCM = 29382668250
Thus, we can understand that the LCM of 807,750,195,442,659 is 29382668250.
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FAQs on LCM of 807, 750, 195, 442, 659
1. What is the LCM of 807, 750, 195, 442, 659?
Answer: LCM of 807, 750, 195, 442, 659 is 29382668250.
2. How to calculate the LCM of 807, 750, 195, 442, 659?
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 807, 750, 195, 442, 659.
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}.