Find the LCM of 960, 741, 618, 807, 705 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 960, 741, 618, 807, 705. So, keep reading to learn more.
Given numbers are 960,741,618,807,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 960,741,618,807,705 is 308784540480.
Find LCM of 960,741,618,807,705 with Prime Factorization
2 | 960, 741, 618, 807, 705 |
3 | 480, 741, 309, 807, 705 |
5 | 160, 247, 103, 269, 235 |
32, 247, 103, 269, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 32 x 247 x 103 x 269 x 47 = 308784540480
Therefore, the lowest common multiple of 960,741,618,807,705 is 308784540480.
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.
960 x 741 x 618 x 807 x 705 = 250115477788800
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.
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
741 : 1, 3, 13, 19, 39, 57, 247, 741
618 : 1, 2, 3, 6, 103, 206, 309, 618
807 : 1, 3, 269, 807
705 : 1, 3, 5, 15, 47, 141, 235, 705
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,741,618,807,705, is 3.
Now, the common factors can be found like this.
960:2x 2x 2x 2x 2x 2x 3x 5
741:3x 13x 19
618:2x 3x 103
807:3x 269
705:3x 5x 47
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 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 250115477788800/(3x270)
LCM = 250115477788800/810
LCM = 308784540480
Thus, we can understand that the LCM of 960,741,618,807,705 is 308784540480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 960, 741, 618, 807, 705?
Answer: LCM of 960, 741, 618, 807, 705 is 308784540480.
2. How to calculate the LCM of 960, 741, 618, 807, 705?
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 960, 741, 618, 807, 705.
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}.