LCM of 783, 758, 972, 536, 803
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 783, 758, 972, 536, 803 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 783, 758, 972, 536, 803. So, keep reading to learn more.
Given numbers are 783,758,972,536,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 783,758,972,536,803 is 1149539281704.
Find LCM of 783,758,972,536,803 with Prime Factorization
| 2 | 783, 758, 972, 536, 803 |
| 2 | 783, 379, 486, 268, 803 |
| 3 | 783, 379, 243, 134, 803 |
| 3 | 261, 379, 81, 134, 803 |
| 3 | 87, 379, 27, 134, 803 |
| 29, 379, 9, 134, 803 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 29 x 379 x 9 x 134 x 803 = 1149539281704
Therefore, the lowest common multiple of 783,758,972,536,803 is 1149539281704.
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.
783 x 758 x 972 x 536 x 803 = 248300484848064
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.
783 : 1, 3, 9, 27, 29, 87, 261, 783
758 : 1, 2, 379, 758
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
536 : 1, 2, 4, 8, 67, 134, 268, 536
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,758,972,536,803, is 1.
Now, the common factors can be found like this.
783:3x 3x 3x 29
758:2x 379
972:2x 2x 3x 3x 3x 3x 3
536:2x 2x 2x 67
803:11x 73
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 2x 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 248300484848064/(1x216)
LCM = 248300484848064/216
LCM = 1149539281704
Thus, we can understand that the LCM of 783,758,972,536,803 is 1149539281704.
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FAQs on LCM of 783, 758, 972, 536, 803
1. What is the LCM of 783, 758, 972, 536, 803?
Answer: LCM of 783, 758, 972, 536, 803 is 1149539281704.
2. How to calculate the LCM of 783, 758, 972, 536, 803?
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 783, 758, 972, 536, 803.
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}.