LCM of 744, 200, 270, 125, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 744, 200, 270, 125, 765 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 744, 200, 270, 125, 765. So, keep reading to learn more.
Given numbers are 744,200,270,125,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 744,200,270,125,765 is 14229000.
Find LCM of 744,200,270,125,765 with Prime Factorization
| 2 | 744, 200, 270, 125, 765 |
| 2 | 372, 100, 135, 125, 765 |
| 2 | 186, 50, 135, 125, 765 |
| 3 | 93, 25, 135, 125, 765 |
| 3 | 31, 25, 45, 125, 255 |
| 5 | 31, 25, 15, 125, 85 |
| 5 | 31, 5, 3, 25, 17 |
| 31, 1, 3, 5, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 5 x 31 x 1 x 3 x 5 x 17 = 14229000
Therefore, the lowest common multiple of 744,200,270,125,765 is 14229000.
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.
744 x 200 x 270 x 125 x 765 = 3841830000000
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.
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
125 : 1, 5, 25, 125
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,200,270,125,765, is 1.
Now, the common factors can be found like this.
744:2x 2x 2x 3x 31
200:2x 2x 2x 5x 5
270:2x 3x 3x 3x 5
125:5x 5x 5
765:3x 3x 5x 17
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 2x 3x 3x 3x 5x 5x 5x 5 = 270000
Therefore, the value for common factors is 270000.
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 = 3841830000000/(1x270000)
LCM = 3841830000000/270000
LCM = 14229000
Thus, we can understand that the LCM of 744,200,270,125,765 is 14229000.
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FAQs on LCM of 744, 200, 270, 125, 765
1. What is the LCM of 744, 200, 270, 125, 765?
Answer: LCM of 744, 200, 270, 125, 765 is 14229000.
2. How to calculate the LCM of 744, 200, 270, 125, 765?
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 744, 200, 270, 125, 765.
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}.