LCM of 987, 658, 678, 715, 355
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 658, 678, 715, 355 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, 658, 678, 715, 355. So, keep reading to learn more.
Given numbers are 987,658,678,715,355
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,658,678,715,355 is 11323742430.
Find LCM of 987,658,678,715,355 with Prime Factorization
| 2 | 987, 658, 678, 715, 355 |
| 3 | 987, 329, 339, 715, 355 |
| 5 | 329, 329, 113, 715, 355 |
| 7 | 329, 329, 113, 143, 71 |
| 47 | 47, 47, 113, 143, 71 |
| 1, 1, 113, 143, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 47 x 1 x 1 x 113 x 143 x 71 = 11323742430
Therefore, the lowest common multiple of 987,658,678,715,355 is 11323742430.
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 658 x 678 x 715 x 355 = 111765337784100
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
658 : 1, 2, 7, 14, 47, 94, 329, 658
678 : 1, 2, 3, 6, 113, 226, 339, 678
715 : 1, 5, 11, 13, 55, 65, 143, 715
355 : 1, 5, 71, 355
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,658,678,715,355, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
658:2x 7x 47
678:2x 3x 113
715:5x 11x 13
355:5x 71
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 5x 7x 47 = 9870
Therefore, the value for common factors is 9870.
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 = 111765337784100/(1x9870)
LCM = 111765337784100/9870
LCM = 11323742430
Thus, we can understand that the LCM of 987,658,678,715,355 is 11323742430.
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FAQs on LCM of 987, 658, 678, 715, 355
1. What is the LCM of 987, 658, 678, 715, 355?
Answer: LCM of 987, 658, 678, 715, 355 is 11323742430.
2. How to calculate the LCM of 987, 658, 678, 715, 355?
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, 658, 678, 715, 355.
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}.