LCM of 987, 735, 755, 746, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 735, 755, 746, 784 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, 735, 755, 746, 784. So, keep reading to learn more.
Given numbers are 987,735,755,746,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,735,755,746,784 is 31130848560.
Find LCM of 987,735,755,746,784 with Prime Factorization
| 2 | 987, 735, 755, 746, 784 |
| 3 | 987, 735, 755, 373, 392 |
| 5 | 329, 245, 755, 373, 392 |
| 7 | 329, 49, 151, 373, 392 |
| 7 | 47, 7, 151, 373, 56 |
| 47, 1, 151, 373, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 7 x 47 x 1 x 151 x 373 x 8 = 31130848560
Therefore, the lowest common multiple of 987,735,755,746,784 is 31130848560.
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 735 x 755 x 746 x 784 = 320336431682400
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
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
755 : 1, 5, 151, 755
746 : 1, 2, 373, 746
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,735,755,746,784, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
735:3x 5x 7x 7
755:5x 151
746:2x 373
784:2x 2x 2x 2x 7x 7
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 7x 7 = 10290
Therefore, the value for common factors is 10290.
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 = 320336431682400/(1x10290)
LCM = 320336431682400/10290
LCM = 31130848560
Thus, we can understand that the LCM of 987,735,755,746,784 is 31130848560.
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FAQs on LCM of 987, 735, 755, 746, 784
1. What is the LCM of 987, 735, 755, 746, 784?
Answer: LCM of 987, 735, 755, 746, 784 is 31130848560.
2. How to calculate the LCM of 987, 735, 755, 746, 784?
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, 735, 755, 746, 784.
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}.