LCM of 666, 374, 715, 603, 750
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 666, 374, 715, 603, 750 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 666, 374, 715, 603, 750. So, keep reading to learn more.
Given numbers are 666,374,715,603,750
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 666,374,715,603,750 is 13559510250.
Find LCM of 666,374,715,603,750 with Prime Factorization
| 2 | 666, 374, 715, 603, 750 |
| 3 | 333, 187, 715, 603, 375 |
| 3 | 111, 187, 715, 201, 125 |
| 5 | 37, 187, 715, 67, 125 |
| 11 | 37, 187, 143, 67, 25 |
| 37, 17, 13, 67, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 37 x 17 x 13 x 67 x 25 = 13559510250
Therefore, the lowest common multiple of 666,374,715,603,750 is 13559510250.
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.
666 x 374 x 715 x 603 x 750 = 80543490885000
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.
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
374 : 1, 2, 11, 17, 22, 34, 187, 374
715 : 1, 5, 11, 13, 55, 65, 143, 715
603 : 1, 3, 9, 67, 201, 603
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 666,374,715,603,750, is 1.
Now, the common factors can be found like this.
666:2x 3x 3x 37
374:2x 11x 17
715:5x 11x 13
603:3x 3x 67
750:2x 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.
2x 2x 3x 3x 3x 5x 11 = 5940
Therefore, the value for common factors is 5940.
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 = 80543490885000/(1x5940)
LCM = 80543490885000/5940
LCM = 13559510250
Thus, we can understand that the LCM of 666,374,715,603,750 is 13559510250.
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FAQs on LCM of 666, 374, 715, 603, 750
1. What is the LCM of 666, 374, 715, 603, 750?
Answer: LCM of 666, 374, 715, 603, 750 is 13559510250.
2. How to calculate the LCM of 666, 374, 715, 603, 750?
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 666, 374, 715, 603, 750.
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}.