LCM of 173, 744, 737, 938
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 173, 744, 737, 938 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 173, 744, 737, 938. So, keep reading to learn more.
Given numbers are 173,744,737,938
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 173,744,737,938 is 664025208.
Find LCM of 173,744,737,938 with Prime Factorization
| 2 | 173, 744, 737, 938 |
| 67 | 173, 372, 737, 469 |
| 173, 372, 11, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 67 x 173 x 372 x 11 x 7 = 664025208
Therefore, the lowest common multiple of 173,744,737,938 is 664025208.
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.
173 x 744 x 737 x 938 = 88979377872
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.
173 : 1, 173
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
737 : 1, 11, 67, 737
938 : 1, 2, 7, 14, 67, 134, 469, 938
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 173,744,737,938, is 1.
Now, the common factors can be found like this.
173:173
744:2x 2x 2x 3x 31
737:11x 67
938:2x 7x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 67 = 134
Therefore, the value for common factors is 134.
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 = 88979377872/(1x134)
LCM = 88979377872/134
LCM = 664025208
Thus, we can understand that the LCM of 173,744,737,938 is 664025208.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 173, 744, 737, 938
1. What is the LCM of 173, 744, 737, 938?
Answer: LCM of 173, 744, 737, 938 is 664025208.
2. How to calculate the LCM of 173, 744, 737, 938?
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 173, 744, 737, 938.
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}.