LCM of 742, 901, 814, 987, 516
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 901, 814, 987, 516 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, 901, 814, 987, 516. So, keep reading to learn more.
Given numbers are 742,901,814,987,516
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,901,814,987,516 is 62253647148.
Find LCM of 742,901,814,987,516 with Prime Factorization
| 2 | 742, 901, 814, 987, 516 |
| 3 | 371, 901, 407, 987, 258 |
| 7 | 371, 901, 407, 329, 86 |
| 53 | 53, 901, 407, 47, 86 |
| 1, 17, 407, 47, 86 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 53 x 1 x 17 x 407 x 47 x 86 = 62253647148
Therefore, the lowest common multiple of 742,901,814,987,516 is 62253647148.
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 901 x 814 x 987 x 516 = 277153237102896
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
901 : 1, 17, 53, 901
814 : 1, 2, 11, 22, 37, 74, 407, 814
987 : 1, 3, 7, 21, 47, 141, 329, 987
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,901,814,987,516, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
901:17x 53
814:2x 11x 37
987:3x 7x 47
516:2x 2x 3x 43
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 3x 7x 53 = 4452
Therefore, the value for common factors is 4452.
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 = 277153237102896/(1x4452)
LCM = 277153237102896/4452
LCM = 62253647148
Thus, we can understand that the LCM of 742,901,814,987,516 is 62253647148.
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, 901, 814, 987, 516
1. What is the LCM of 742, 901, 814, 987, 516?
Answer: LCM of 742, 901, 814, 987, 516 is 62253647148.
2. How to calculate the LCM of 742, 901, 814, 987, 516?
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, 901, 814, 987, 516.
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}.