LCM of 737, 725, 738, 338, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 725, 738, 338, 984 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, 725, 738, 338, 984. So, keep reading to learn more.
Given numbers are 737,725,738,338,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,725,738,338,984 is 266568330600.
Find LCM of 737,725,738,338,984 with Prime Factorization
| 2 | 737, 725, 738, 338, 984 |
| 3 | 737, 725, 369, 169, 492 |
| 41 | 737, 725, 123, 169, 164 |
| 737, 725, 3, 169, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 41 x 737 x 725 x 3 x 169 x 4 = 266568330600
Therefore, the lowest common multiple of 737,725,738,338,984 is 266568330600.
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 725 x 738 x 338 x 984 = 131151618655200
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
725 : 1, 5, 25, 29, 145, 725
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
338 : 1, 2, 13, 26, 169, 338
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,725,738,338,984, is 1.
Now, the common factors can be found like this.
737:11x 67
725:5x 5x 29
738:2x 3x 3x 41
338:2x 13x 13
984:2x 2x 2x 3x 41
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 41 = 492
Therefore, the value for common factors is 492.
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 = 131151618655200/(1x492)
LCM = 131151618655200/492
LCM = 266568330600
Thus, we can understand that the LCM of 737,725,738,338,984 is 266568330600.
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FAQs on LCM of 737, 725, 738, 338, 984
1. What is the LCM of 737, 725, 738, 338, 984?
Answer: LCM of 737, 725, 738, 338, 984 is 266568330600.
2. How to calculate the LCM of 737, 725, 738, 338, 984?
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, 725, 738, 338, 984.
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}.