LCM of 737, 287, 500, 806, 624
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 287, 500, 806, 624 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, 287, 500, 806, 624. So, keep reading to learn more.
Given numbers are 737,287,500,806,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,287,500,806,624 is 511452942000.
Find LCM of 737,287,500,806,624 with Prime Factorization
| 2 | 737, 287, 500, 806, 624 |
| 2 | 737, 287, 250, 403, 312 |
| 13 | 737, 287, 125, 403, 156 |
| 737, 287, 125, 31, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 737 x 287 x 125 x 31 x 12 = 511452942000
Therefore, the lowest common multiple of 737,287,500,806,624 is 511452942000.
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 287 x 500 x 806 x 624 = 53191105968000
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
287 : 1, 7, 41, 287
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
806 : 1, 2, 13, 26, 31, 62, 403, 806
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,287,500,806,624, is 1.
Now, the common factors can be found like this.
737:11x 67
287:7x 41
500:2x 2x 5x 5x 5
806:2x 13x 31
624:2x 2x 2x 2x 3x 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 2x 2x 13 = 104
Therefore, the value for common factors is 104.
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 = 53191105968000/(1x104)
LCM = 53191105968000/104
LCM = 511452942000
Thus, we can understand that the LCM of 737,287,500,806,624 is 511452942000.
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FAQs on LCM of 737, 287, 500, 806, 624
1. What is the LCM of 737, 287, 500, 806, 624?
Answer: LCM of 737, 287, 500, 806, 624 is 511452942000.
2. How to calculate the LCM of 737, 287, 500, 806, 624?
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, 287, 500, 806, 624.
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}.