Find the LCM of 762, 562, 841, 960, 689 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 762, 562, 841, 960, 689. So, keep reading to learn more.
Given numbers are 762,562,841,960,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,562,841,960,689 is 19851644604480.
Find LCM of 762,562,841,960,689 with Prime Factorization
2 | 762, 562, 841, 960, 689 |
3 | 381, 281, 841, 480, 689 |
127, 281, 841, 160, 689 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 127 x 281 x 841 x 160 x 689 = 19851644604480
Therefore, the lowest common multiple of 762,562,841,960,689 is 19851644604480.
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.
762 x 562 x 841 x 960 x 689 = 238219735253760
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
562 : 1, 2, 281, 562
841 : 1, 29, 841
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
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,562,841,960,689, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
562:2x 281
841:29x 29
960:2x 2x 2x 2x 2x 2x 3x 5
689:13x 53
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 3 = 12
Therefore, the value for common factors is 12.
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 = 238219735253760/(1x12)
LCM = 238219735253760/12
LCM = 19851644604480
Thus, we can understand that the LCM of 762,562,841,960,689 is 19851644604480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 762, 562, 841, 960, 689?
Answer: LCM of 762, 562, 841, 960, 689 is 19851644604480.
2. How to calculate the LCM of 762, 562, 841, 960, 689?
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 762, 562, 841, 960, 689.
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}.