LCM of 745, 750, 737, 375
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 745, 750, 737, 375 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 745, 750, 737, 375. So, keep reading to learn more.
Given numbers are 745,750,737,375
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 745,750,737,375 is 82359750.
Find LCM of 745,750,737,375 with Prime Factorization
| 3 | 745, 750, 737, 375 |
| 5 | 745, 250, 737, 125 |
| 5 | 149, 50, 737, 25 |
| 5 | 149, 10, 737, 5 |
| 149, 2, 737, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 5 x 149 x 2 x 737 x 1 = 82359750
Therefore, the lowest common multiple of 745,750,737,375 is 82359750.
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.
745 x 750 x 737 x 375 = 154424531250
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.
745 : 1, 5, 149, 745
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
737 : 1, 11, 67, 737
375 : 1, 3, 5, 15, 25, 75, 125, 375
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,750,737,375, is 1.
Now, the common factors can be found like this.
745:5x 149
750:2x 3x 5x 5x 5
737:11x 67
375:3x 5x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 5x 5 = 1875
Therefore, the value for common factors is 1875.
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 = 154424531250/(1x1875)
LCM = 154424531250/1875
LCM = 82359750
Thus, we can understand that the LCM of 745,750,737,375 is 82359750.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 745, 750, 737, 375
1. What is the LCM of 745, 750, 737, 375?
Answer: LCM of 745, 750, 737, 375 is 82359750.
2. How to calculate the LCM of 745, 750, 737, 375?
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 745, 750, 737, 375.
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}.