LCM of 750, 807, 686, 343, 775
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 750, 807, 686, 343, 775 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 750, 807, 686, 343, 775. So, keep reading to learn more.
Given numbers are 750,807,686,343,775
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 750,807,686,343,775 is 2145207750.
Find LCM of 750,807,686,343,775 with Prime Factorization
| 2 | 750, 807, 686, 343, 775 |
| 3 | 375, 807, 343, 343, 775 |
| 5 | 125, 269, 343, 343, 775 |
| 5 | 25, 269, 343, 343, 155 |
| 7 | 5, 269, 343, 343, 31 |
| 7 | 5, 269, 49, 49, 31 |
| 7 | 5, 269, 7, 7, 31 |
| 5, 269, 1, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 7 x 7 x 7 x 5 x 269 x 1 x 1 x 31 = 2145207750
Therefore, the lowest common multiple of 750,807,686,343,775 is 2145207750.
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.
750 x 807 x 686 x 343 x 775 = 110370938737500
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.
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
807 : 1, 3, 269, 807
686 : 1, 2, 7, 14, 49, 98, 343, 686
343 : 1, 7, 49, 343
775 : 1, 5, 25, 31, 155, 775
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,807,686,343,775, is 1.
Now, the common factors can be found like this.
750:2x 3x 5x 5x 5
807:3x 269
686:2x 7x 7x 7
343:7x 7x 7
775:5x 5x 31
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 5x 5x 7x 7x 7 = 51450
Therefore, the value for common factors is 51450.
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 = 110370938737500/(1x51450)
LCM = 110370938737500/51450
LCM = 2145207750
Thus, we can understand that the LCM of 750,807,686,343,775 is 2145207750.
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FAQs on LCM of 750, 807, 686, 343, 775
1. What is the LCM of 750, 807, 686, 343, 775?
Answer: LCM of 750, 807, 686, 343, 775 is 2145207750.
2. How to calculate the LCM of 750, 807, 686, 343, 775?
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 750, 807, 686, 343, 775.
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}.