LCM of 665, 750, 532, 350, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 665, 750, 532, 350, 309 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 665, 750, 532, 350, 309. So, keep reading to learn more.
Given numbers are 665,750,532,350,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 665,750,532,350,309 is 20548500.
Find LCM of 665,750,532,350,309 with Prime Factorization
| 2 | 665, 750, 532, 350, 309 |
| 3 | 665, 375, 266, 175, 309 |
| 5 | 665, 125, 266, 175, 103 |
| 5 | 133, 25, 266, 35, 103 |
| 7 | 133, 5, 266, 7, 103 |
| 19 | 19, 5, 38, 1, 103 |
| 1, 5, 2, 1, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 7 x 19 x 1 x 5 x 2 x 1 x 103 = 20548500
Therefore, the lowest common multiple of 665,750,532,350,309 is 20548500.
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.
665 x 750 x 532 x 350 x 309 = 28695980250000
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.
665 : 1, 5, 7, 19, 35, 95, 133, 665
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 665,750,532,350,309, is 1.
Now, the common factors can be found like this.
665:5x 7x 19
750:2x 3x 5x 5x 5
532:2x 2x 7x 19
350:2x 5x 5x 7
309:3x 103
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 3x 5x 5x 5x 7x 7x 19 = 1396500
Therefore, the value for common factors is 1396500.
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 = 28695980250000/(1x1396500)
LCM = 28695980250000/1396500
LCM = 20548500
Thus, we can understand that the LCM of 665,750,532,350,309 is 20548500.
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FAQs on LCM of 665, 750, 532, 350, 309
1. What is the LCM of 665, 750, 532, 350, 309?
Answer: LCM of 665, 750, 532, 350, 309 is 20548500.
2. How to calculate the LCM of 665, 750, 532, 350, 309?
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 665, 750, 532, 350, 309.
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}.