LCM of 803, 462, 269, 747, 600
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 803, 462, 269, 747, 600 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, 462, 269, 747, 600. So, keep reading to learn more.
Given numbers are 803,462,269,747,600
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,462,269,747,600 is 225900120600.
Find LCM of 803,462,269,747,600 with Prime Factorization
| 2 | 803, 462, 269, 747, 600 |
| 3 | 803, 231, 269, 747, 300 |
| 11 | 803, 77, 269, 249, 100 |
| 73, 7, 269, 249, 100 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 73 x 7 x 269 x 249 x 100 = 225900120600
Therefore, the lowest common multiple of 803,462,269,747,600 is 225900120600.
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 462 x 269 x 747 x 600 = 44728223878800
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
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
269 : 1, 269
747 : 1, 3, 9, 83, 249, 747
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,462,269,747,600, is 1.
Now, the common factors can be found like this.
803:11x 73
462:2x 3x 7x 11
269:269
747:3x 3x 83
600:2x 2x 2x 3x 5x 5
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 11 = 198
Therefore, the value for common factors is 198.
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 = 44728223878800/(1x198)
LCM = 44728223878800/198
LCM = 225900120600
Thus, we can understand that the LCM of 803,462,269,747,600 is 225900120600.
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FAQs on LCM of 803, 462, 269, 747, 600
1. What is the LCM of 803, 462, 269, 747, 600?
Answer: LCM of 803, 462, 269, 747, 600 is 225900120600.
2. How to calculate the LCM of 803, 462, 269, 747, 600?
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, 462, 269, 747, 600.
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}.