LCM of 329, 750, 759, 309, 270
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 329, 750, 759, 309, 270 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 329, 750, 759, 309, 270. So, keep reading to learn more.
Given numbers are 329,750,759,309,270
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 329,750,759,309,270 is 57870524250.
Find LCM of 329,750,759,309,270 with Prime Factorization
| 2 | 329, 750, 759, 309, 270 |
| 3 | 329, 375, 759, 309, 135 |
| 5 | 329, 125, 253, 103, 45 |
| 329, 25, 253, 103, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 329 x 25 x 253 x 103 x 9 = 57870524250
Therefore, the lowest common multiple of 329,750,759,309,270 is 57870524250.
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.
329 x 750 x 759 x 309 x 270 = 15625041547500
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.
329 : 1, 7, 47, 329
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
759 : 1, 3, 11, 23, 33, 69, 253, 759
309 : 1, 3, 103, 309
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,750,759,309,270, is 1.
Now, the common factors can be found like this.
329:7x 47
750:2x 3x 5x 5x 5
759:3x 11x 23
309:3x 103
270:2x 3x 3x 3x 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 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 15625041547500/(1x270)
LCM = 15625041547500/270
LCM = 57870524250
Thus, we can understand that the LCM of 329,750,759,309,270 is 57870524250.
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FAQs on LCM of 329, 750, 759, 309, 270
1. What is the LCM of 329, 750, 759, 309, 270?
Answer: LCM of 329, 750, 759, 309, 270 is 57870524250.
2. How to calculate the LCM of 329, 750, 759, 309, 270?
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 329, 750, 759, 309, 270.
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}.