LCM of 733, 125, 380, 625, 650
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 733, 125, 380, 625, 650 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 733, 125, 380, 625, 650. So, keep reading to learn more.
Given numbers are 733,125,380,625,650
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 733,125,380,625,650 is 452627500.
Find LCM of 733,125,380,625,650 with Prime Factorization
| 2 | 733, 125, 380, 625, 650 |
| 5 | 733, 125, 190, 625, 325 |
| 5 | 733, 25, 38, 125, 65 |
| 5 | 733, 5, 38, 25, 13 |
| 733, 1, 38, 5, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 5 x 733 x 1 x 38 x 5 x 13 = 452627500
Therefore, the lowest common multiple of 733,125,380,625,650 is 452627500.
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.
733 x 125 x 380 x 625 x 650 = 14144609375000
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.
733 : 1, 733
125 : 1, 5, 25, 125
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
625 : 1, 5, 25, 125, 625
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,125,380,625,650, is 1.
Now, the common factors can be found like this.
733:733
125:5x 5x 5
380:2x 2x 5x 19
625:5x 5x 5x 5
650:2x 5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 5x 5x 5x 5 = 31250
Therefore, the value for common factors is 31250.
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 = 14144609375000/(1x31250)
LCM = 14144609375000/31250
LCM = 452627500
Thus, we can understand that the LCM of 733,125,380,625,650 is 452627500.
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FAQs on LCM of 733, 125, 380, 625, 650
1. What is the LCM of 733, 125, 380, 625, 650?
Answer: LCM of 733, 125, 380, 625, 650 is 452627500.
2. How to calculate the LCM of 733, 125, 380, 625, 650?
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 733, 125, 380, 625, 650.
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}.