LCM of 987, 555, 961, 495, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 555, 961, 495, 742 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 987, 555, 961, 495, 742. So, keep reading to learn more.
Given numbers are 987,555,961,495,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,555,961,495,742 is 613807334910.
Find LCM of 987,555,961,495,742 with Prime Factorization
| 3 | 987, 555, 961, 495, 742 |
| 5 | 329, 185, 961, 165, 742 |
| 7 | 329, 37, 961, 33, 742 |
| 47, 37, 961, 33, 106 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 47 x 37 x 961 x 33 x 106 = 613807334910
Therefore, the lowest common multiple of 987,555,961,495,742 is 613807334910.
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.
987 x 555 x 961 x 495 x 742 = 193349310496650
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.
987 : 1, 3, 7, 21, 47, 141, 329, 987
555 : 1, 3, 5, 15, 37, 111, 185, 555
961 : 1, 31, 961
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,555,961,495,742, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
555:3x 5x 37
961:31x 31
495:3x 3x 5x 11
742:2x 7x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 7 = 315
Therefore, the value for common factors is 315.
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 = 193349310496650/(1x315)
LCM = 193349310496650/315
LCM = 613807334910
Thus, we can understand that the LCM of 987,555,961,495,742 is 613807334910.
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FAQs on LCM of 987, 555, 961, 495, 742
1. What is the LCM of 987, 555, 961, 495, 742?
Answer: LCM of 987, 555, 961, 495, 742 is 613807334910.
2. How to calculate the LCM of 987, 555, 961, 495, 742?
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 987, 555, 961, 495, 742.
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}.