Find the LCM of 737, 525, 300, 987, 284 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 737, 525, 300, 987, 284. So, keep reading to learn more.
Given numbers are 737,525,300,987,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,525,300,987,284 is 5164674900.
Find LCM of 737,525,300,987,284 with Prime Factorization
2 | 737, 525, 300, 987, 284 |
2 | 737, 525, 150, 987, 142 |
3 | 737, 525, 75, 987, 71 |
5 | 737, 175, 25, 329, 71 |
5 | 737, 35, 5, 329, 71 |
7 | 737, 7, 1, 329, 71 |
737, 1, 1, 47, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 7 x 737 x 1 x 1 x 47 x 71 = 5164674900
Therefore, the lowest common multiple of 737,525,300,987,284 is 5164674900.
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.
737 x 525 x 300 x 987 x 284 = 32537451870000
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.
737 : 1, 11, 67, 737
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
987 : 1, 3, 7, 21, 47, 141, 329, 987
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,525,300,987,284, is 1.
Now, the common factors can be found like this.
737:11x 67
525:3x 5x 5x 7
300:2x 2x 3x 5x 5
987:3x 7x 47
284:2x 2x 71
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 5x 5x 7 = 6300
Therefore, the value for common factors is 6300.
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 = 32537451870000/(1x6300)
LCM = 32537451870000/6300
LCM = 5164674900
Thus, we can understand that the LCM of 737,525,300,987,284 is 5164674900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 737, 525, 300, 987, 284?
Answer: LCM of 737, 525, 300, 987, 284 is 5164674900.
2. How to calculate the LCM of 737, 525, 300, 987, 284?
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 737, 525, 300, 987, 284.
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}.