LCM of 803, 243, 972, 736, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 803, 243, 972, 736, 319 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 803, 243, 972, 736, 319. So, keep reading to learn more.
Given numbers are 803,243,972,736,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,243,972,736,319 is 4164833376.
Find LCM of 803,243,972,736,319 with Prime Factorization
| 2 | 803, 243, 972, 736, 319 |
| 2 | 803, 243, 486, 368, 319 |
| 3 | 803, 243, 243, 184, 319 |
| 3 | 803, 81, 81, 184, 319 |
| 3 | 803, 27, 27, 184, 319 |
| 3 | 803, 9, 9, 184, 319 |
| 3 | 803, 3, 3, 184, 319 |
| 11 | 803, 1, 1, 184, 319 |
| 73, 1, 1, 184, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 3 x 11 x 73 x 1 x 1 x 184 x 29 = 4164833376
Therefore, the lowest common multiple of 803,243,972,736,319 is 4164833376.
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.
803 x 243 x 972 x 736 x 319 = 44530398456192
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.
803 : 1, 11, 73, 803
243 : 1, 3, 9, 27, 81, 243
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,243,972,736,319, is 1.
Now, the common factors can be found like this.
803:11x 73
243:3x 3x 3x 3x 3
972:2x 2x 3x 3x 3x 3x 3
736:2x 2x 2x 2x 2x 23
319:11x 29
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 3x 3x 3x 3x 11 = 10692
Therefore, the value for common factors is 10692.
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 = 44530398456192/(1x10692)
LCM = 44530398456192/10692
LCM = 4164833376
Thus, we can understand that the LCM of 803,243,972,736,319 is 4164833376.
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FAQs on LCM of 803, 243, 972, 736, 319
1. What is the LCM of 803, 243, 972, 736, 319?
Answer: LCM of 803, 243, 972, 736, 319 is 4164833376.
2. How to calculate the LCM of 803, 243, 972, 736, 319?
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 803, 243, 972, 736, 319.
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}.