LCM of 750, 676, 945, 324, 722
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 750, 676, 945, 324, 722 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 750, 676, 945, 324, 722. So, keep reading to learn more.
Given numbers are 750,676,945,324,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 750,676,945,324,722 is 17296051500.
Find LCM of 750,676,945,324,722 with Prime Factorization
| 2 | 750, 676, 945, 324, 722 |
| 2 | 375, 338, 945, 162, 361 |
| 3 | 375, 169, 945, 81, 361 |
| 3 | 125, 169, 315, 27, 361 |
| 3 | 125, 169, 105, 9, 361 |
| 5 | 125, 169, 35, 3, 361 |
| 25, 169, 7, 3, 361 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 25 x 169 x 7 x 3 x 361 = 17296051500
Therefore, the lowest common multiple of 750,676,945,324,722 is 17296051500.
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.
750 x 676 x 945 x 324 x 722 = 112078413720000
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.
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
722 : 1, 2, 19, 38, 361, 722
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,676,945,324,722, is 1.
Now, the common factors can be found like this.
750:2x 3x 5x 5x 5
676:2x 2x 13x 13
945:3x 3x 3x 5x 7
324:2x 2x 3x 3x 3x 3
722:2x 19x 19
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 3x 5 = 6480
Therefore, the value for common factors is 6480.
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 = 112078413720000/(1x6480)
LCM = 112078413720000/6480
LCM = 17296051500
Thus, we can understand that the LCM of 750,676,945,324,722 is 17296051500.
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FAQs on LCM of 750, 676, 945, 324, 722
1. What is the LCM of 750, 676, 945, 324, 722?
Answer: LCM of 750, 676, 945, 324, 722 is 17296051500.
2. How to calculate the LCM of 750, 676, 945, 324, 722?
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 750, 676, 945, 324, 722.
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}.