LCM of 746, 493, 189, 216, 803
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 493, 189, 216, 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 746, 493, 189, 216, 803. So, keep reading to learn more.
Given numbers are 746,493,189,216,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,493,189,216,803 is 223266254904.
Find LCM of 746,493,189,216,803 with Prime Factorization
| 2 | 746, 493, 189, 216, 803 |
| 3 | 373, 493, 189, 108, 803 |
| 3 | 373, 493, 63, 36, 803 |
| 3 | 373, 493, 21, 12, 803 |
| 373, 493, 7, 4, 803 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 373 x 493 x 7 x 4 x 803 = 223266254904
Therefore, the lowest common multiple of 746,493,189,216,803 is 223266254904.
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.
746 x 493 x 189 x 216 x 803 = 12056377764816
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.
746 : 1, 2, 373, 746
493 : 1, 17, 29, 493
189 : 1, 3, 7, 9, 21, 27, 63, 189
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,493,189,216,803, is 1.
Now, the common factors can be found like this.
746:2x 373
493:17x 29
189:3x 3x 3x 7
216:2x 2x 2x 3x 3x 3
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 3x 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 12056377764816/(1x54)
LCM = 12056377764816/54
LCM = 223266254904
Thus, we can understand that the LCM of 746,493,189,216,803 is 223266254904.
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FAQs on LCM of 746, 493, 189, 216, 803
1. What is the LCM of 746, 493, 189, 216, 803?
Answer: LCM of 746, 493, 189, 216, 803 is 223266254904.
2. How to calculate the LCM of 746, 493, 189, 216, 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 746, 493, 189, 216, 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}.