LCM of 742, 516, 749, 866
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 516, 749, 866 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 742, 516, 749, 866. So, keep reading to learn more.
Given numbers are 742,516,749,866
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,516,749,866 is 8869421316.
Find LCM of 742,516,749,866 with Prime Factorization
| 2 | 742, 516, 749, 866 |
| 7 | 371, 258, 749, 433 |
| 53, 258, 107, 433 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 53 x 258 x 107 x 433 = 8869421316
Therefore, the lowest common multiple of 742,516,749,866 is 8869421316.
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.
742 x 516 x 749 x 866 = 248343796848
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
749 : 1, 7, 107, 749
866 : 1, 2, 433, 866
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,516,749,866, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
516:2x 2x 3x 43
749:7x 107
866:2x 433
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 7 = 28
Therefore, the value for common factors is 28.
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 = 248343796848/(1x28)
LCM = 248343796848/28
LCM = 8869421316
Thus, we can understand that the LCM of 742,516,749,866 is 8869421316.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 742, 516, 749, 866
1. What is the LCM of 742, 516, 749, 866?
Answer: LCM of 742, 516, 749, 866 is 8869421316.
2. How to calculate the LCM of 742, 516, 749, 866?
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 742, 516, 749, 866.
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}.