LCM of 703, 297, 900, 285, 743
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 703, 297, 900, 285, 743 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 703, 297, 900, 285, 743. So, keep reading to learn more.
Given numbers are 703,297,900,285,743
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,297,900,285,743 is 15513171300.
Find LCM of 703,297,900,285,743 with Prime Factorization
| 3 | 703, 297, 900, 285, 743 |
| 3 | 703, 99, 300, 95, 743 |
| 5 | 703, 33, 100, 95, 743 |
| 19 | 703, 33, 20, 19, 743 |
| 37, 33, 20, 1, 743 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 19 x 37 x 33 x 20 x 1 x 743 = 15513171300
Therefore, the lowest common multiple of 703,297,900,285,743 is 15513171300.
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.
703 x 297 x 900 x 285 x 743 = 39791284384500
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.
703 : 1, 19, 37, 703
297 : 1, 3, 9, 11, 27, 33, 99, 297
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
285 : 1, 3, 5, 15, 19, 57, 95, 285
743 : 1, 743
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,297,900,285,743, is 1.
Now, the common factors can be found like this.
703:19x 37
297:3x 3x 3x 11
900:2x 2x 3x 3x 5x 5
285:3x 5x 19
743:743
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 19 = 2565
Therefore, the value for common factors is 2565.
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 = 39791284384500/(1x2565)
LCM = 39791284384500/2565
LCM = 15513171300
Thus, we can understand that the LCM of 703,297,900,285,743 is 15513171300.
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FAQs on LCM of 703, 297, 900, 285, 743
1. What is the LCM of 703, 297, 900, 285, 743?
Answer: LCM of 703, 297, 900, 285, 743 is 15513171300.
2. How to calculate the LCM of 703, 297, 900, 285, 743?
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 703, 297, 900, 285, 743.
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}.